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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 19 · 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 75350 divisible by 11?
  2. 2.Is 43110 divisible by 7?
  3. 3.Is 63302 divisible by 12?
  4. 4.Is 8790 divisible by 7?
  5. 5.Is 12888 divisible by 2?
  6. 6.Is 18536 divisible by 3?
  7. 7.Is 8431 divisible by 2?
  8. 8.Is 35988 divisible by 12?
  9. 9.Is 15196 divisible by 4?
  10. 10.Is 81126 divisible by 18?
  11. 11.Is 46390 divisible by 24?
  12. 12.Is 21436 divisible by 15?
  13. 13.Is 7316 divisible by 2?
  14. 14.Is 613 divisible by 2?
  15. 15.Is 20963 divisible by 19?
  16. 16.Is 1516 divisible by 2?
  17. 17.Is 6510 divisible by 3?
  18. 18.Is 35381 divisible by 7?
  19. 19.Is 13716 divisible by 5?
  20. 20.Is 1380 divisible by 6?
  21. 21.Is 111476 divisible by 30?
  22. 22.Is 46818 divisible by 7?
  23. 23.Is 40372 divisible by 17?
  24. 24.Is 21794 divisible by 17?
  25. 25.Is 201691 divisible by 30?
  26. 26.Is 49058 divisible by 13?
  27. 27.Is 38619 divisible by 7?
  28. 28.Is 14231 divisible by 4?
  29. 29.Is 137460 divisible by 20?
  30. 30.Is 60463 divisible by 29?
  31. 31.Is 9439 divisible by 2?
  32. 32.Is 19473 divisible by 4?
  33. 33.Is 15033 divisible by 11?
  34. 34.Is 38128 divisible by 8?
  35. 35.Is 10322 divisible by 13?
  36. 36.Is 83445 divisible by 15?
  37. 37.Is 141587 divisible by 24?
  38. 38.Is 15698 divisible by 5?
  39. 39.Is 52933 divisible by 17?
  40. 40.Is 40938 divisible by 15?

Answer key

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

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