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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 75 · 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 25310 divisible by 5?
  2. 2.Is 76215 divisible by 15?
  3. 3.Is 18092 divisible by 3?
  4. 4.Is 5324 divisible by 2?
  5. 5.Is 22684 divisible by 29?
  6. 6.Is 123810 divisible by 30?
  7. 7.Is 12586 divisible by 3?
  8. 8.Is 3162 divisible by 17?
  9. 9.Is 15950 divisible by 29?
  10. 10.Is 5198 divisible by 4?
  11. 11.Is 7208 divisible by 29?
  12. 12.Is 27307 divisible by 19?
  13. 13.Is 9180 divisible by 2?
  14. 14.Is 74178 divisible by 18?
  15. 15.Is 15679 divisible by 18?
  16. 16.Is 6678 divisible by 3?
  17. 17.Is 140438 divisible by 24?
  18. 18.Is 99144 divisible by 18?
  19. 19.Is 13463 divisible by 2?
  20. 20.Is 4169 divisible by 11?
  21. 21.Is 76662 divisible by 18?
  22. 22.Is 30778 divisible by 8?
  23. 23.Is 123427 divisible by 30?
  24. 24.Is 20499 divisible by 11?
  25. 25.Is 98347 divisible by 15?
  26. 26.Is 39806 divisible by 7?
  27. 27.Is 5902 divisible by 2?
  28. 28.Is 13083 divisible by 12?
  29. 29.Is 120582 divisible by 18?
  30. 30.Is 39704 divisible by 8?
  31. 31.Is 4946 divisible by 5?
  32. 32.Is 55308 divisible by 11?
  33. 33.Is 49060 divisible by 8?
  34. 34.Is 54836 divisible by 8?
  35. 35.Is 78540 divisible by 15?
  36. 36.Is 3786 divisible by 7?
  37. 37.Is 10595 divisible by 2?
  38. 38.Is 7654 divisible by 2?
  39. 39.Is 13602 divisible by 7?
  40. 40.Is 82550 divisible by 13?

Answer key

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

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