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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 250 · 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 3652 divisible by 4?
  2. 2.Is 65030 divisible by 10?
  3. 3.Is 1600 divisible by 10?
  4. 4.Is 442 divisible by 13?
  5. 5.Is 24410 divisible by 24?
  6. 6.Is 30360 divisible by 12?
  7. 7.Is 39020 divisible by 17?
  8. 8.Is 13758 divisible by 5?
  9. 9.Is 16282 divisible by 7?
  10. 10.Is 48250 divisible by 20?
  11. 11.Is 38871 divisible by 8?
  12. 12.Is 28267 divisible by 23?
  13. 13.Is 25740 divisible by 24?
  14. 14.Is 8298 divisible by 7?
  15. 15.Is 26826 divisible by 6?
  16. 16.Is 134091 divisible by 23?
  17. 17.Is 61490 divisible by 11?
  18. 18.Is 17655 divisible by 7?
  19. 19.Is 6646 divisible by 24?
  20. 20.Is 33754 divisible by 15?
  21. 21.Is 84179 divisible by 30?
  22. 22.Is 72624 divisible by 29?
  23. 23.Is 30990 divisible by 6?
  24. 24.Is 10690 divisible by 4?
  25. 25.Is 88800 divisible by 15?
  26. 26.Is 58680 divisible by 9?
  27. 27.Is 2782 divisible by 2?
  28. 28.Is 123312 divisible by 24?
  29. 29.Is 594 divisible by 5?
  30. 30.Is 37227 divisible by 30?
  31. 31.Is 22713 divisible by 7?
  32. 32.Is 15647 divisible by 20?
  33. 33.Is 32487 divisible by 10?
  34. 34.Is 26736 divisible by 4?
  35. 35.Is 5181 divisible by 5?
  36. 36.Is 22682 divisible by 7?
  37. 37.Is 29785 divisible by 5?
  38. 38.Is 81612 divisible by 12?
  39. 39.Is 119142 divisible by 18?
  40. 40.Is 61267 divisible by 12?

Answer key

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

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