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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 708 · 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 26881 divisible by 4?
  2. 2.Is 30560 divisible by 10?
  3. 3.Is 22137 divisible by 8?
  4. 4.Is 13460 divisible by 3?
  5. 5.Is 15691 divisible by 4?
  6. 6.Is 53953 divisible by 15?
  7. 7.Is 23010 divisible by 30?
  8. 8.Is 5046 divisible by 2?
  9. 9.Is 27975 divisible by 13?
  10. 10.Is 48290 divisible by 29?
  11. 11.Is 15478 divisible by 17?
  12. 12.Is 20500 divisible by 6?
  13. 13.Is 5677 divisible by 2?
  14. 14.Is 5303 divisible by 2?
  15. 15.Is 73095 divisible by 11?
  16. 16.Is 120440 divisible by 20?
  17. 17.Is 50200 divisible by 8?
  18. 18.Is 68802 divisible by 11?
  19. 19.Is 72424 divisible by 11?
  20. 20.Is 94119 divisible by 19?
  21. 21.Is 29303 divisible by 7?
  22. 22.Is 23990 divisible by 10?
  23. 23.Is 59346 divisible by 11?
  24. 24.Is 68860 divisible by 10?
  25. 25.Is 33751 divisible by 30?
  26. 26.Is 27652 divisible by 11?
  27. 27.Is 24679 divisible by 23?
  28. 28.Is 56934 divisible by 9?
  29. 29.Is 57312 divisible by 18?
  30. 30.Is 55651 divisible by 29?
  31. 31.Is 14691 divisible by 20?
  32. 32.Is 133879 divisible by 24?
  33. 33.Is 5953 divisible by 23?
  34. 34.Is 36780 divisible by 12?
  35. 35.Is 50453 divisible by 13?
  36. 36.Is 8052 divisible by 3?
  37. 37.Is 99462 divisible by 30?
  38. 38.Is 12132 divisible by 4?
  39. 39.Is 21151 divisible by 9?
  40. 40.Is 17925 divisible by 5?

Answer key

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

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