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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 218 · 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 81273 divisible by 18?
  2. 2.Is 98879 divisible by 15?
  3. 3.Is 39829 divisible by 6?
  4. 4.Is 16724 divisible by 15?
  5. 5.Is 127972 divisible by 23?
  6. 6.Is 109649 divisible by 19?
  7. 7.Is 93978 divisible by 18?
  8. 8.Is 122721 divisible by 18?
  9. 9.Is 109620 divisible by 18?
  10. 10.Is 53196 divisible by 8?
  11. 11.Is 68172 divisible by 23?
  12. 12.Is 19836 divisible by 12?
  13. 13.Is 1005 divisible by 2?
  14. 14.Is 14184 divisible by 6?
  15. 15.Is 63165 divisible by 11?
  16. 16.Is 37502 divisible by 17?
  17. 17.Is 14660 divisible by 20?
  18. 18.Is 70392 divisible by 24?
  19. 19.Is 96500 divisible by 20?
  20. 20.Is 45720 divisible by 8?
  21. 21.Is 17295 divisible by 9?
  22. 22.Is 6504 divisible by 3?
  23. 23.Is 28440 divisible by 18?
  24. 24.Is 58060 divisible by 11?
  25. 25.Is 20511 divisible by 3?
  26. 26.Is 32720 divisible by 15?
  27. 27.Is 32290 divisible by 15?
  28. 28.Is 29892 divisible by 5?
  29. 29.Is 202590 divisible by 30?
  30. 30.Is 12285 divisible by 5?
  31. 31.Is 61774 divisible by 9?
  32. 32.Is 41534 divisible by 6?
  33. 33.Is 58495 divisible by 23?
  34. 34.Is 85488 divisible by 13?
  35. 35.Is 55 divisible by 2?
  36. 36.Is 26534 divisible by 5?
  37. 37.Is 17494 divisible by 4?
  38. 38.Is 12869 divisible by 3?
  39. 39.Is 5616 divisible by 6?
  40. 40.Is 13876 divisible by 2?

Answer key

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

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