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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 868 · 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 178440 divisible by 30?
  2. 2.Is 26805 divisible by 9?
  3. 3.Is 44415 divisible by 15?
  4. 4.Is 32979 divisible by 10?
  5. 5.Is 32324 divisible by 6?
  6. 6.Is 130575 divisible by 20?
  7. 7.Is 13704 divisible by 12?
  8. 8.Is 12075 divisible by 4?
  9. 9.Is 3309 divisible by 6?
  10. 10.Is 12670 divisible by 4?
  11. 11.Is 33814 divisible by 29?
  12. 12.Is 2490 divisible by 7?
  13. 13.Is 48790 divisible by 7?
  14. 14.Is 16288 divisible by 6?
  15. 15.Is 84907 divisible by 18?
  16. 16.Is 20724 divisible by 11?
  17. 17.Is 7448 divisible by 4?
  18. 18.Is 16632 divisible by 6?
  19. 19.Is 15979 divisible by 19?
  20. 20.Is 2277 divisible by 9?
  21. 21.Is 11918 divisible by 2?
  22. 22.Is 4103 divisible by 20?
  23. 23.Is 2033 divisible by 2?
  24. 24.Is 79713 divisible by 17?
  25. 25.Is 9711 divisible by 6?
  26. 26.Is 2176 divisible by 4?
  27. 27.Is 119761 divisible by 24?
  28. 28.Is 18090 divisible by 5?
  29. 29.Is 82524 divisible by 13?
  30. 30.Is 92100 divisible by 15?
  31. 31.Is 7026 divisible by 11?
  32. 32.Is 11637 divisible by 3?
  33. 33.Is 66360 divisible by 10?
  34. 34.Is 42879 divisible by 19?
  35. 35.Is 10386 divisible by 6?
  36. 36.Is 33350 divisible by 29?
  37. 37.Is 122206 divisible by 29?
  38. 38.Is 19858 divisible by 12?
  39. 39.Is 137632 divisible by 23?
  40. 40.Is 3783 divisible by 3?

Answer key

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

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