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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 718 · 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 11948 divisible by 29?
  2. 2.Is 24096 divisible by 19?
  3. 3.Is 69645 divisible by 17?
  4. 4.Is 85797 divisible by 19?
  5. 5.Is 56163 divisible by 11?
  6. 6.Is 37056 divisible by 12?
  7. 7.Is 74711 divisible by 30?
  8. 8.Is 594 divisible by 9?
  9. 9.Is 55796 divisible by 8?
  10. 10.Is 29794 divisible by 11?
  11. 11.Is 80251 divisible by 13?
  12. 12.Is 15600 divisible by 20?
  13. 13.Is 36678 divisible by 6?
  14. 14.Is 25342 divisible by 10?
  15. 15.Is 66079 divisible by 23?
  16. 16.Is 28459 divisible by 6?
  17. 17.Is 399 divisible by 8?
  18. 18.Is 3610 divisible by 10?
  19. 19.Is 45099 divisible by 9?
  20. 20.Is 411 divisible by 10?
  21. 21.Is 177330 divisible by 30?
  22. 22.Is 1135 divisible by 2?
  23. 23.Is 2686 divisible by 3?
  24. 24.Is 63604 divisible by 29?
  25. 25.Is 26657 divisible by 19?
  26. 26.Is 18630 divisible by 6?
  27. 27.Is 3216 divisible by 6?
  28. 28.Is 12611 divisible by 9?
  29. 29.Is 25783 divisible by 19?
  30. 30.Is 52506 divisible by 18?
  31. 31.Is 33185 divisible by 11?
  32. 32.Is 10101 divisible by 8?
  33. 33.Is 336 divisible by 8?
  34. 34.Is 2537 divisible by 4?
  35. 35.Is 30086 divisible by 13?
  36. 36.Is 13755 divisible by 5?
  37. 37.Is 102334 divisible by 19?
  38. 38.Is 87578 divisible by 20?
  39. 39.Is 28793 divisible by 13?
  40. 40.Is 71271 divisible by 18?

Answer key

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

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