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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 604 · 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 1179 divisible by 18?
  2. 2.Is 27976 divisible by 9?
  3. 3.Is 2480 divisible by 4?
  4. 4.Is 9846 divisible by 6?
  5. 5.Is 142651 divisible by 29?
  6. 6.Is 40351 divisible by 6?
  7. 7.Is 75746 divisible by 11?
  8. 8.Is 34536 divisible by 11?
  9. 9.Is 71387 divisible by 20?
  10. 10.Is 103683 divisible by 24?
  11. 11.Is 8730 divisible by 19?
  12. 12.Is 36620 divisible by 10?
  13. 13.Is 11448 divisible by 24?
  14. 14.Is 135 divisible by 5?
  15. 15.Is 7501 divisible by 3?
  16. 16.Is 54574 divisible by 13?
  17. 17.Is 2929 divisible by 7?
  18. 18.Is 14283 divisible by 5?
  19. 19.Is 28158 divisible by 12?
  20. 20.Is 21422 divisible by 13?
  21. 21.Is 43043 divisible by 7?
  22. 22.Is 18806 divisible by 12?
  23. 23.Is 3178 divisible by 7?
  24. 24.Is 25046 divisible by 6?
  25. 25.Is 120481 divisible by 30?
  26. 26.Is 136100 divisible by 20?
  27. 27.Is 99081 divisible by 18?
  28. 28.Is 339 divisible by 3?
  29. 29.Is 13545 divisible by 7?
  30. 30.Is 102360 divisible by 15?
  31. 31.Is 4658 divisible by 2?
  32. 32.Is 80340 divisible by 30?
  33. 33.Is 14188 divisible by 3?
  34. 34.Is 2307 divisible by 3?
  35. 35.Is 47550 divisible by 10?
  36. 36.Is 74000 divisible by 12?
  37. 37.Is 12017 divisible by 13?
  38. 38.Is 1533 divisible by 7?
  39. 39.Is 28561 divisible by 13?
  40. 40.Is 1121 divisible by 9?

Answer key

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

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