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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 132 · 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 2700 divisible by 20?
  2. 2.Is 90570 divisible by 30?
  3. 3.Is 33837 divisible by 7?
  4. 4.Is 61634 divisible by 29?
  5. 5.Is 23243 divisible by 13?
  6. 6.Is 127415 divisible by 24?
  7. 7.Is 82171 divisible by 12?
  8. 8.Is 26741 divisible by 13?
  9. 9.Is 23303 divisible by 6?
  10. 10.Is 5647 divisible by 7?
  11. 11.Is 18750 divisible by 5?
  12. 12.Is 28574 divisible by 7?
  13. 13.Is 68416 divisible by 11?
  14. 14.Is 4833 divisible by 3?
  15. 15.Is 8976 divisible by 4?
  16. 16.Is 11743 divisible by 12?
  17. 17.Is 79620 divisible by 15?
  18. 18.Is 160968 divisible by 24?
  19. 19.Is 44390 divisible by 10?
  20. 20.Is 48011 divisible by 10?
  21. 21.Is 13825 divisible by 7?
  22. 22.Is 202795 divisible by 29?
  23. 23.Is 8824 divisible by 3?
  24. 24.Is 129179 divisible by 20?
  25. 25.Is 15558 divisible by 3?
  26. 26.Is 53032 divisible by 8?
  27. 27.Is 76684 divisible by 19?
  28. 28.Is 53576 divisible by 8?
  29. 29.Is 58670 divisible by 10?
  30. 30.Is 48192 divisible by 10?
  31. 31.Is 14106 divisible by 3?
  32. 32.Is 68620 divisible by 10?
  33. 33.Is 3488 divisible by 12?
  34. 34.Is 16176 divisible by 3?
  35. 35.Is 109594 divisible by 19?
  36. 36.Is 154399 divisible by 23?
  37. 37.Is 1671 divisible by 3?
  38. 38.Is 41090 divisible by 10?
  39. 39.Is 85542 divisible by 23?
  40. 40.Is 6561 divisible by 4?

Answer key

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

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