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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 134 · 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 25277 divisible by 7?
  2. 2.Is 96288 divisible by 17?
  3. 3.Is 13657 divisible by 19?
  4. 4.Is 30367 divisible by 5?
  5. 5.Is 101035 divisible by 18?
  6. 6.Is 12462 divisible by 10?
  7. 7.Is 36465 divisible by 13?
  8. 8.Is 33144 divisible by 24?
  9. 9.Is 23475 divisible by 23?
  10. 10.Is 11857 divisible by 5?
  11. 11.Is 42312 divisible by 24?
  12. 12.Is 12584 divisible by 11?
  13. 13.Is 29435 divisible by 5?
  14. 14.Is 110353 divisible by 19?
  15. 15.Is 106319 divisible by 29?
  16. 16.Is 6074 divisible by 8?
  17. 17.Is 43576 divisible by 11?
  18. 18.Is 72346 divisible by 12?
  19. 19.Is 10129 divisible by 9?
  20. 20.Is 121040 divisible by 20?
  21. 21.Is 29836 divisible by 13?
  22. 22.Is 41080 divisible by 8?
  23. 23.Is 30682 divisible by 5?
  24. 24.Is 59280 divisible by 13?
  25. 25.Is 98406 divisible by 18?
  26. 26.Is 31590 divisible by 18?
  27. 27.Is 23490 divisible by 12?
  28. 28.Is 66204 divisible by 12?
  29. 29.Is 3861 divisible by 13?
  30. 30.Is 8898 divisible by 3?
  31. 31.Is 26210 divisible by 5?
  32. 32.Is 33672 divisible by 24?
  33. 33.Is 28624 divisible by 9?
  34. 34.Is 10891 divisible by 2?
  35. 35.Is 3423 divisible by 7?
  36. 36.Is 9573 divisible by 2?
  37. 37.Is 17496 divisible by 7?
  38. 38.Is 90168 divisible by 24?
  39. 39.Is 37438 divisible by 8?
  40. 40.Is 122728 divisible by 29?

Answer key

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

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