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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 974 · 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 13295 divisible by 13?
  2. 2.Is 19690 divisible by 23?
  3. 3.Is 51913 divisible by 10?
  4. 4.Is 54270 divisible by 15?
  5. 5.Is 4521 divisible by 11?
  6. 6.Is 80487 divisible by 20?
  7. 7.Is 12563 divisible by 2?
  8. 8.Is 6840 divisible by 18?
  9. 9.Is 66727 divisible by 17?
  10. 10.Is 5655 divisible by 5?
  11. 11.Is 55034 divisible by 8?
  12. 12.Is 22910 divisible by 29?
  13. 13.Is 40186 divisible by 13?
  14. 14.Is 19257 divisible by 3?
  15. 15.Is 744 divisible by 2?
  16. 16.Is 5107 divisible by 6?
  17. 17.Is 67220 divisible by 20?
  18. 18.Is 28374 divisible by 6?
  19. 19.Is 70780 divisible by 20?
  20. 20.Is 15069 divisible by 4?
  21. 21.Is 44852 divisible by 23?
  22. 22.Is 4415 divisible by 9?
  23. 23.Is 23758 divisible by 6?
  24. 24.Is 67400 divisible by 24?
  25. 25.Is 31041 divisible by 9?
  26. 26.Is 13986 divisible by 18?
  27. 27.Is 11749 divisible by 8?
  28. 28.Is 80036 divisible by 20?
  29. 29.Is 1586 divisible by 13?
  30. 30.Is 28244 divisible by 9?
  31. 31.Is 151570 divisible by 23?
  32. 32.Is 45820 divisible by 7?
  33. 33.Is 16650 divisible by 15?
  34. 34.Is 12114 divisible by 2?
  35. 35.Is 17675 divisible by 5?
  36. 36.Is 47025 divisible by 11?
  37. 37.Is 64976 divisible by 11?
  38. 38.Is 62319 divisible by 17?
  39. 39.Is 2514 divisible by 6?
  40. 40.Is 28285 divisible by 24?

Answer key

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

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