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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 641 · 40 sums
TalentJR

The trick (Ekadhikena Purvena): 2, 5, 10: the last digit (even; 0 or 5; 0). 3 and 9: add the digits. 4: the last two digits. 8: the last three digits. 6: even and passes the rule for 3. 11: from the right, add the 1st, 3rd, 5th… digits and the 2nd, 4th… digits; the difference must be 0 or a multiple of 11. Any prime p: multiply p by 1, 3, 7 or 9 so it ends in 9; one more than the digits before the 9 is the osculator (7 → 5, 13 → 4, 17 → 12, 19 → 2, 23 → 7, 29 → 3). Take the last digit × the osculator and add it to the rest; repeat until the number is small and check the times table. Composite numbers: split into two factors that share no factor and pass BOTH rules — 6 = 2 × 3, 12 = 3 × 4, 15 = 3 × 5, 18 = 2 × 9, 20 = 4 × 5, 24 = 3 × 8, 30 = 3 × 10.

NameDateTime takenScore ___ / 40
  1. 1.Is 51949 divisible by 15?
  2. 2.Is 26572 divisible by 4?
  3. 3.Is 18570 divisible by 6?
  4. 4.Is 1863 divisible by 6?
  5. 5.Is 44560 divisible by 20?
  6. 6.Is 96041 divisible by 23?
  7. 7.Is 44541 divisible by 24?
  8. 8.Is 46246 divisible by 19?
  9. 9.Is 11498 divisible by 2?
  10. 10.Is 39704 divisible by 7?
  11. 11.Is 34807 divisible by 5?
  12. 12.Is 54928 divisible by 8?
  13. 13.Is 8769 divisible by 6?
  14. 14.Is 45057 divisible by 23?
  15. 15.Is 23839 divisible by 19?
  16. 16.Is 21803 divisible by 9?
  17. 17.Is 24780 divisible by 20?
  18. 18.Is 48660 divisible by 20?
  19. 19.Is 45931 divisible by 8?
  20. 20.Is 89035 divisible by 18?
  21. 21.Is 88021 divisible by 24?
  22. 22.Is 19810 divisible by 7?
  23. 23.Is 125622 divisible by 18?
  24. 24.Is 26768 divisible by 7?
  25. 25.Is 23129 divisible by 8?
  26. 26.Is 51263 divisible by 15?
  27. 27.Is 10171 divisible by 2?
  28. 28.Is 8023 divisible by 4?
  29. 29.Is 9364 divisible by 8?
  30. 30.Is 30822 divisible by 11?
  31. 31.Is 1627 divisible by 18?
  32. 32.Is 8628 divisible by 2?
  33. 33.Is 68170 divisible by 10?
  34. 34.Is 10000 divisible by 8?
  35. 35.Is 32527 divisible by 11?
  36. 36.Is 10140 divisible by 2?
  37. 37.Is 55286 divisible by 17?
  38. 38.Is 8388 divisible by 9?
  39. 39.Is 64410 divisible by 10?
  40. 40.Is 2394 divisible by 9?

Answer key

  1. no
  2. yes
  3. yes
  4. no
  5. yes
  6. no
  7. no
  8. yes
  9. yes
  10. yes
  11. no
  12. yes
  13. no
  14. yes
  15. no
  16. no
  17. yes
  18. yes
  19. no
  20. no
  21. no
  22. yes
  23. yes
  24. yes
  25. no
  26. no
  27. no
  28. no
  29. no
  30. yes
  31. no
  32. yes
  33. yes
  34. yes
  35. yes
  36. yes
  37. no
  38. yes
  39. yes
  40. yes

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