Mike Jacobs

@mikejacobs.bsky.social

475 Followers 50 Following

Math teacher in Ontario/Mountaineer/Munroist/Exiled Yorkshireman/Dad to two great kids. Creator of Yohaku Puzzle https://www.yohaku.ca/ Author of Onwards and Upwards. https://tinyurl.com/OnwardsUpwardsHills . #RunEveryDay

A black swallowtail butterfly on some Queen Anne Lace. The butterfly is mainly black with two rows of small yellow dots near the base of its wings. Additionally, between these two rows there are some light blue markings near the centre of the butterfly.
A red admiral butterfly (mainly black with two red diagonal stripes and some white blotches near the wing tips) sat on a patch of lavender.
A man in white t-shirt and beige shorts by a white trig point on top of a hill looking towards another group of hills on a sunny day.
A marbled white butterfly (white wings with light grey markings) sat on a white sock.
Use 9 different integers in a 3 by 3 grid. The numbers in the top row multiply to 52. The numbers in the middle row multiply to 105. The numbers in the bottom row multiply to 66. The numbers in the left column multiply to -78. The numbers in the middle column multiply to -14. The numbers in the right column multiply to 330. The sum of the integers in the 2 by 2 square at the top left of the grid is -3.
Use 9 different factors of 828 in a 3 by 3 grid. The numbers in the top row add to 63. The numbers in the middle row add to 19. The numbers in the bottom row add to 234. The numbers in the left column add to 228. The numbers in the middle column add to 60. The numbers in the right column add to 28.
Use 9 different whole numbers in a 3 by 3 grid. The numbers in the top row multiply to 54. The numbers in the middle row multiply to 30. The numbers in the bottom row multiply to 616. The numbers in the left column multiply to 84. The numbers in the middle column multiply to 297. The numbers in the right column multiply to 40.
Use 9 different factors of 276 in a 3 by 3 grid. The numbers in the top row add to 41. The numbers in the middle row add to 97. The numbers in the bottom row add to 143. The numbers in the left column add to 145. The numbers in the middle column add to 117. The numbers in the right column add to 19.
A great spangled fritillary butterfly on the purple flower of a clover. The butterfly is orange with irregular black markings
Use 16 different factors of 980 in a 4 by 4 grid. The numbers in the top row add to 28. The numbers in the second row add to 215. The numbers in the third row add to 588. The numbers in the bottom row add to 93. The numbers in the left column add to 327. The numbers in the second column add to 249. The numbers in the third column add to 85. The numbers in the right column add to 263. The central four cells contain square numbers.
A great blue heron standing by the muddy edge of a pond.
Use 9 different integers in a 3 by 3 grid. The numbers in the top row multiply to -85. The numbers in the middle row multiply to 78. The numbers in the bottom row multiply to 132. The numbers in the left column multiply to 52. The numbers in the middle column multiply to 153. The numbers in the right column multiply to -110. The sum of the integers in the 2 by 2 square at the top left of the grid is 0.
Use 9 different factors of 680 in a 3 by 3 grid. The numbers in the top row add to 65. The numbers in the middle row add to 206. The numbers in the bottom row add to 154. The numbers in the left column add to 95. The numbers in the middle column add to 188. The numbers in the right column add to 142.
Use 9 different whole numbers in a 3 by 3 grid. The numbers in the top row multiply to 81. The numbers in the middle row multiply to 130. The numbers in the bottom row multiply to 308. The numbers in the left column multiply to 216. The numbers in the middle column multiply to 105. The numbers in the right column multiply to 143.
Use 9 different factors of 330 in a 3 by 3 grid. The numbers in the top row add to 23. The numbers in the middle row add to 50. The numbers in the bottom row add to 142. The numbers in the left column add to 23. The numbers in the middle column add to 46. The numbers in the right column add to 146.
Use 16 different factors of 504 in a 4 by 4 grid. The numbers in the top row add to 10. The numbers in the second row add to 60. The numbers in the third row add to 84. The numbers in the bottom row add to 150. The numbers in the left column add to 29. The numbers in the second column add to 93. The numbers in the third column add to 140. The numbers in the right column add to 42. The central four cells contain triangle numbers.
Use 9 different integers in a 3 by 3 grid. The numbers in the top row multiply to 112. The numbers in the middle row multiply to 130. The numbers in the bottom row multiply to 132. The numbers in the left column multiply to 160. The numbers in the middle column multiply to -286. The numbers in the right column multiply to -42. The sum of the integers in the 2 by 2 square at the top left of the grid is 8.
Use 9 different factors of 390 in a 3 by 3 grid. The numbers in the top row add to 29. The numbers in the middle row add to 223. The numbers in the bottom row add to 18. The numbers in the left column add to 13. The numbers in the middle column add to 211. The numbers in the right column add to 46.
Use 9 different whole numbers in a 3 by 3 grid. The numbers in the top row multiply to 125. The numbers in the middle row multiply to 308. The numbers in the bottom row multiply to 84. The numbers in the left column multiply to 60. The numbers in the middle column multiply to 550. The numbers in the right column multiply to 98.
Use 9 different factors of 126 in a 3 by 3 grid. The numbers in the top row add to 150. The numbers in the middle row add to 39. The numbers in the bottom row add to 12. The numbers in the left column add to 12. The numbers in the middle column add to 48. The numbers in the right column add to 141.
A small blue butterfly on a yellow flower.
Use 16 different factors of 792 in a 4 by 4 grid. The numbers in the top row add to 137. The numbers in the second row add to 49. The numbers in the third row add to 76. The numbers in the bottom row add to 43. The numbers in the left column add to 23. The numbers in the second column add to 36. The numbers in the third column add to 134. The numbers in the right column add to 112. The central four cells contain square numbers.
Use 9 different integers in a 3 by 3 grid. The numbers in the top row multiply to -92. The numbers in the middle row multiply to 126. The numbers in the bottom row multiply to 25. The numbers in the left column multiply to 140. The numbers in the middle column multiply to 138. The numbers in the right column multiply to -15. The sum of the integers in the 2 by 2 square at the top left of the grid is -6.
Use 9 different factors of 264 in a 3 by 3 grid. The numbers in the top row add to 43. The numbers in the middle row add to 162. The numbers in the bottom row add to 67. The numbers in the left column add to 177. The numbers in the middle column add to 43. The numbers in the right column add to 52.
Use 9 different integers in a 3 by 3 grid. The numbers in the top row multiply to . The numbers in the middle row multiply to . The numbers in the bottom row multiply to . The numbers in the left column multiply to . The numbers in the middle column multiply to . The numbers in the right column multiply to . The sum of the integers in the 2 by 2 square in the top left of the grid is .
Use 9 different factors of 168 in a 3 by 3 grid. The numbers in the top row add to 11. The numbers in the middle row add to 30. The numbers in the bottom row add to 194. The numbers in the left column add to 27. The numbers in the middle column add to 15. The numbers in the right column add to 193.
Use 16 different factors of 420 in a 4 by 4 grid. The numbers in the top row add to 206. The numbers in the second row add to 150. The numbers in the third row add to 44. The numbers in the bottom row add to 109. The numbers in the left column add to 11. The numbers in the second column add to 173. The numbers in the third column add to 296. The numbers in the right column add to 29. The central four cells contain triangle numbers.
Use 9 different integers in a 3 by 3 grid. The numbers in the top row multiply to 42. The numbers in the middle row multiply to -55. The numbers in the bottom row multiply to 52. The numbers in the left column multiply to 28. The numbers in the middle column multiply to -33. The numbers in the right column multiply to 130. The sum of the integers in the 2 by 2 square at the top left of the grid is 0.
Use 9 different factors of 490 in a 3 by 3 grid. The numbers in the top row add to 22. The numbers in the middle row add to 113. The numbers in the bottom row add to 86. The numbers in the left column add to 55. The numbers in the middle column add to 110. The numbers in the right column add to 56.
Use 9 different whole numbers in a 3 by 3 grid. The numbers in the top row multiply to 18. The numbers in the middle row multiply to 260. The numbers in the bottom row multiply to 231. The numbers in the left column multiply to 78. The numbers in the middle column multiply to 396. The numbers in the right column multiply to 35.
Use 9 different factors of 120 in a 3 by 3 grid. The numbers in the top row add to 15. The numbers in the middle row add to 22. The numbers in the bottom row add to 154. The numbers in the left column add to 17. The numbers in the middle column add to 33. The numbers in the right column add to 141.
Use 16 different factors of 336 in a 4 by 4 grid. The numbers in the top row add to 230. The numbers in the second row add to 113. The numbers in the third row add to 17. The numbers in the bottom row add to 52. The numbers in the left column add to 15. The numbers in the second column add to 226. The numbers in the third column add to 54. The numbers in the right column add to 117. The central four cells contain triangle numbers.
Use 9 different integers in a 3 by 3 grid. The numbers in the top row multiply to -154. The numbers in the middle row multiply to 78. The numbers in the bottom row multiply to 30. The numbers in the left column multiply to 22. The numbers in the middle column multiply to -455. The numbers in the right column multiply to 36. The sum of the integers in the 2 by 2 square at the top left of the grid is -3.
Use 9 different factors of 168 in a 3 by 3 grid. The numbers in the top row add to 53. The numbers in the middle row add to 154. The numbers in the bottom row add to 11. The numbers in the left column add to 111. The numbers in the middle column add to 64. The numbers in the right column add to 43.
Use 9 different whole numbers in a 3 by 3 grid. The numbers in the top row multiply to 105. The numbers in the middle row multiply to 176. The numbers in the bottom row multiply to 60. The numbers in the left column multiply to 44. The numbers in the middle column multiply to 280. The numbers in the right column multiply to 90.
Use 9 different factors of 150 in a 3 by 3 grid. The numbers in the top row add to 13. The numbers in the middle row add to 29. The numbers in the bottom row add to 90. The numbers in the left column add to 18. The numbers in the middle column add to 81. The numbers in the right column add to 33.
A sunlit cluster of creamy white apple blossom with hints of pink.
Use 16 different factors of 882 in a 4 by 4 grid. The numbers in the top row add to 206. The numbers in the second row add to 582. The numbers in the third row add to 211. The numbers in the bottom row add to 48. The numbers in the left column add to 378. The numbers in the second column add to 113. The numbers in the third column add to 531. The numbers in the right column add to 25. The central four cells contain square numbers.
Use 9 different integers in a 3 by 3 grid. The numbers in the top row multiply to -48. The numbers in the middle row multiply to -28. The numbers in the bottom row multiply to -52. The numbers in the left column multiply to -21. The numbers in the middle column multiply to 416. The numbers in the right column multiply to 8. The sum of the integers in the 2 by 2 square at the top left of the grid is -8.
Use 9 different factors of 210 in a 3 by 3 grid. The numbers in the top row add to 121. The numbers in the middle row add to 72. The numbers in the bottom row add to 11. The numbers in the left column add to 39. The numbers in the middle column add to 114. The numbers in the right column add to 51.
Use 9 different whole numbers in a 3 by 3 grid. The numbers in the top row multiply to 222. The numbers in the middle row multiply to 48. The numbers in the bottom row multiply to 462. The numbers in the left column multiply to 168. The numbers in the middle column multiply to 222. The numbers in the right column multiply to 132.
Use 9 different factors of 144 in a 3 by 3 grid. The numbers in the top row add to 186. The numbers in the middle row add to 36. The numbers in the bottom row add to 11. The numbers in the left column add to 11. The numbers in the middle column add to 53. The numbers in the right column add to 169.
Use 16 different factors of 980 in a 4 by 4 grid. The numbers in the top row add to 60. The numbers in the second row add to 95. The numbers in the third row add to 309. The numbers in the bottom row add to 460. The numbers in the left column add to 28. The numbers in the second column add to 140. The numbers in the third column add to 368. The numbers in the right column add to 388. The central four cells contain square numbers.
Use 9 different integers in a 3 by 3 grid. The numbers in the top row multiply to -42. The numbers in the middle row multiply to 117. The numbers in the bottom row multiply to 88. The numbers in the left column multiply to -91. The numbers in the middle column multiply to -198. The numbers in the right column multiply to -24. The sum of the integers in the 2 by 2 square at the top left of the grid is -1.
Use 9 different factors of 972 in a 3 by 3 grid. The numbers in the top row add to 201. The numbers in the middle row add to 31. The numbers in the bottom row add to 19. The numbers in the left column add to 192. The numbers in the middle column add to 41. The numbers in the right column add to 18.
Use 9 different whole numbers in a 3 by 3 grid. The numbers in the top row multiply to 156. The numbers in the middle row multiply to 42. The numbers in the bottom row multiply to 330. The numbers in the left column multiply to 231. The numbers in the middle column multiply to 156. The numbers in the right column multiply to 60.
Use 9 different factors of 140 in a 3 by 3 grid. The numbers in the top row add to 112. The numbers in the middle row add to 16. The numbers in the bottom row add to 36. The numbers in the left column add to 100. The numbers in the middle column add to 54. The numbers in the right column add to 10.
White trillium blooming on a forest floor.
Use 16 different factors of 336 in a 4 by 4 grid. The numbers in the top row add to 21. The numbers in the second row add to 227. The numbers in the third row add to 43. The numbers in the bottom row add to 120. The numbers in the left column add to 163. The numbers in the second column add to 20. The numbers in the third column add to 84. The numbers in the right column add to 144. The central four cells contain triangle numbers.
A beaver swimming in a pond.
Use 9 different integers in a 3 by 3 grid. The numbers in the top row multiply to -51. The numbers in the middle row multiply to -495. The numbers in the bottom row multiply to -56. The numbers in the left column multiply to 40. The numbers in the middle column multiply to 153. The numbers in the right column multiply to -231. The sum of the integers in the 2 by 2 square at the top left of the grid is -2.
Use 9 different factors of 896 in a 3 by 3 grid. The numbers in the top row add to 28. The numbers in the middle row add to 254. The numbers in the bottom row add to 136. The numbers in the left column add to 45. The numbers in the middle column add to 134. The numbers in the right column add to 239.
Use 9 different whole numbers in a 3 by 3 grid. The numbers in the top row multiply to 27. The numbers in the middle row multiply to 480. The numbers in the bottom row multiply to 154. The numbers in the left column multiply to 32. The numbers in the middle column multiply to 105. The numbers in the right column multiply to 594.
Use 9 different factors of 192 in a 3 by 3 grid. The numbers in the top row add to 210. The numbers in the middle row add to 17. The numbers in the bottom row add to 40. The numbers in the left column add to 20. The numbers in the middle column add to 199. The numbers in the right column add to 48.
A great blue heron stood in a pond.
Use 16 different factors of 420 in a 4 by 4 grid. The numbers in the top row add to 21. The numbers in the second row add to 33. The numbers in the third row add to 73. The numbers in the bottom row add to 249. The numbers in the left column add to 80. The numbers in the second column add to 171. The numbers in the third column add to 13. The numbers in the right column add to 112. The central four cells contain triangle numbers.
Use 9 different integers in a 3 by 3 grid. The numbers in the top row multiply to -28. The numbers in the middle row multiply to 495. The numbers in the bottom row multiply to -52. The numbers in the left column multiply to 84. The numbers in the middle column multiply to -390. The numbers in the right column multiply to -22. The sum of the integers in the 2 by 2 square at the top left of the grid is -9.
A group of white trillium in a forest.
Use 9 different factors of 320 in a 3 by 3 grid. The numbers in the top row add to 181. The numbers in the middle row add to 106. The numbers in the bottom row add to 32. The numbers in the left column add to 52. The numbers in the middle column add to 23. The numbers in the right column add to 244.