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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 779 · 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 2846 divisible by 6?
  2. 2.Is 58795 divisible by 11?
  3. 3.Is 37782 divisible by 9?
  4. 4.Is 28842 divisible by 19?
  5. 5.Is 3585 divisible by 5?
  6. 6.Is 438 divisible by 2?
  7. 7.Is 2588 divisible by 4?
  8. 8.Is 33902 divisible by 20?
  9. 9.Is 65760 divisible by 15?
  10. 10.Is 42700 divisible by 20?
  11. 11.Is 112320 divisible by 30?
  12. 12.Is 5544 divisible by 7?
  13. 13.Is 30348 divisible by 8?
  14. 14.Is 44166 divisible by 19?
  15. 15.Is 14759 divisible by 4?
  16. 16.Is 154839 divisible by 23?
  17. 17.Is 20020 divisible by 20?
  18. 18.Is 163394 divisible by 24?
  19. 19.Is 43372 divisible by 7?
  20. 20.Is 93520 divisible by 20?
  21. 21.Is 21693 divisible by 6?
  22. 22.Is 21126 divisible by 7?
  23. 23.Is 24162 divisible by 20?
  24. 24.Is 43720 divisible by 8?
  25. 25.Is 51869 divisible by 19?
  26. 26.Is 2221 divisible by 2?
  27. 27.Is 9865 divisible by 2?
  28. 28.Is 94928 divisible by 30?
  29. 29.Is 12450 divisible by 15?
  30. 30.Is 55639 divisible by 11?
  31. 31.Is 98833 divisible by 29?
  32. 32.Is 24465 divisible by 5?
  33. 33.Is 32827 divisible by 23?
  34. 34.Is 79811 divisible by 24?
  35. 35.Is 13175 divisible by 17?
  36. 36.Is 37224 divisible by 6?
  37. 37.Is 83961 divisible by 19?
  38. 38.Is 36776 divisible by 18?
  39. 39.Is 52610 divisible by 11?
  40. 40.Is 4760 divisible by 17?

Answer key

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

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