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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 552 · 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 3660 divisible by 5?
  2. 2.Is 4547 divisible by 2?
  3. 3.Is 33390 divisible by 5?
  4. 4.Is 17991 divisible by 3?
  5. 5.Is 17635 divisible by 7?
  6. 6.Is 60945 divisible by 9?
  7. 7.Is 17306 divisible by 5?
  8. 8.Is 1546 divisible by 2?
  9. 9.Is 9313 divisible by 20?
  10. 10.Is 7120 divisible by 4?
  11. 11.Is 24064 divisible by 4?
  12. 12.Is 60473 divisible by 17?
  13. 13.Is 21660 divisible by 29?
  14. 14.Is 2979 divisible by 5?
  15. 15.Is 67500 divisible by 12?
  16. 16.Is 58863 divisible by 9?
  17. 17.Is 20893 divisible by 6?
  18. 18.Is 4082 divisible by 2?
  19. 19.Is 98670 divisible by 23?
  20. 20.Is 46700 divisible by 20?
  21. 21.Is 25188 divisible by 7?
  22. 22.Is 11281 divisible by 29?
  23. 23.Is 11400 divisible by 19?
  24. 24.Is 62106 divisible by 11?
  25. 25.Is 9402 divisible by 11?
  26. 26.Is 40653 divisible by 7?
  27. 27.Is 17220 divisible by 4?
  28. 28.Is 34438 divisible by 11?
  29. 29.Is 1180 divisible by 10?
  30. 30.Is 33516 divisible by 19?
  31. 31.Is 2665 divisible by 5?
  32. 32.Is 9416 divisible by 11?
  33. 33.Is 25417 divisible by 15?
  34. 34.Is 45936 divisible by 7?
  35. 35.Is 102850 divisible by 17?
  36. 36.Is 73274 divisible by 18?
  37. 37.Is 17904 divisible by 5?
  38. 38.Is 24252 divisible by 20?
  39. 39.Is 36441 divisible by 13?
  40. 40.Is 42461 divisible by 7?

Answer key

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

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