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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 999 · 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 23867 divisible by 13?
  2. 2.Is 56895 divisible by 12?
  3. 3.Is 30613 divisible by 23?
  4. 4.Is 23460 divisible by 5?
  5. 5.Is 8109 divisible by 2?
  6. 6.Is 82930 divisible by 18?
  7. 7.Is 55517 divisible by 23?
  8. 8.Is 65032 divisible by 11?
  9. 9.Is 60969 divisible by 23?
  10. 10.Is 7176 divisible by 5?
  11. 11.Is 32115 divisible by 9?
  12. 12.Is 13038 divisible by 7?
  13. 13.Is 207278 divisible by 30?
  14. 14.Is 13976 divisible by 17?
  15. 15.Is 31548 divisible by 6?
  16. 16.Is 30537 divisible by 29?
  17. 17.Is 64040 divisible by 20?
  18. 18.Is 96352 divisible by 18?
  19. 19.Is 10791 divisible by 5?
  20. 20.Is 20907 divisible by 6?
  21. 21.Is 100620 divisible by 20?
  22. 22.Is 80782 divisible by 13?
  23. 23.Is 33488 divisible by 5?
  24. 24.Is 1071 divisible by 17?
  25. 25.Is 37651 divisible by 18?
  26. 26.Is 2394 divisible by 30?
  27. 27.Is 40230 divisible by 6?
  28. 28.Is 2511 divisible by 2?
  29. 29.Is 98546 divisible by 18?
  30. 30.Is 12896 divisible by 2?
  31. 31.Is 38269 divisible by 7?
  32. 32.Is 81426 divisible by 30?
  33. 33.Is 11424 divisible by 3?
  34. 34.Is 6675 divisible by 3?
  35. 35.Is 73685 divisible by 30?
  36. 36.Is 13824 divisible by 24?
  37. 37.Is 39560 divisible by 6?
  38. 38.Is 44464 divisible by 11?
  39. 39.Is 19380 divisible by 30?
  40. 40.Is 10729 divisible by 13?

Answer key

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

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