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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 756 · 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 4065 divisible by 5?
  2. 2.Is 69758 divisible by 13?
  3. 3.Is 47641 divisible by 23?
  4. 4.Is 22170 divisible by 5?
  5. 5.Is 10542 divisible by 7?
  6. 6.Is 137623 divisible by 20?
  7. 7.Is 89437 divisible by 17?
  8. 8.Is 104932 divisible by 18?
  9. 9.Is 59700 divisible by 20?
  10. 10.Is 2186 divisible by 4?
  11. 11.Is 5527 divisible by 4?
  12. 12.Is 30597 divisible by 7?
  13. 13.Is 6422 divisible by 20?
  14. 14.Is 58136 divisible by 30?
  15. 15.Is 22678 divisible by 29?
  16. 16.Is 38709 divisible by 9?
  17. 17.Is 34130 divisible by 5?
  18. 18.Is 71974 divisible by 20?
  19. 19.Is 23779 divisible by 7?
  20. 20.Is 3726 divisible by 9?
  21. 21.Is 6139 divisible by 30?
  22. 22.Is 46536 divisible by 24?
  23. 23.Is 24479 divisible by 7?
  24. 24.Is 48826 divisible by 11?
  25. 25.Is 4397 divisible by 2?
  26. 26.Is 26655 divisible by 5?
  27. 27.Is 12834 divisible by 3?
  28. 28.Is 26204 divisible by 10?
  29. 29.Is 656 divisible by 4?
  30. 30.Is 1066 divisible by 3?
  31. 31.Is 1872 divisible by 24?
  32. 32.Is 14582 divisible by 12?
  33. 33.Is 53039 divisible by 18?
  34. 34.Is 10597 divisible by 11?
  35. 35.Is 49292 divisible by 10?
  36. 36.Is 19799 divisible by 15?
  37. 37.Is 19772 divisible by 10?
  38. 38.Is 55125 divisible by 15?
  39. 39.Is 252 divisible by 7?
  40. 40.Is 10910 divisible by 10?

Answer key

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

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