← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 462 · 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 114858 divisible by 23?
  2. 2.Is 23897 divisible by 12?
  3. 3.Is 137765 divisible by 23?
  4. 4.Is 34062 divisible by 6?
  5. 5.Is 76589 divisible by 13?
  6. 6.Is 5452 divisible by 3?
  7. 7.Is 22408 divisible by 7?
  8. 8.Is 68580 divisible by 10?
  9. 9.Is 108547 divisible by 29?
  10. 10.Is 43740 divisible by 10?
  11. 11.Is 151530 divisible by 29?
  12. 12.Is 7941 divisible by 24?
  13. 13.Is 58400 divisible by 23?
  14. 14.Is 24368 divisible by 8?
  15. 15.Is 11568 divisible by 12?
  16. 16.Is 110197 divisible by 30?
  17. 17.Is 11152 divisible by 18?
  18. 18.Is 12590 divisible by 10?
  19. 19.Is 11055 divisible by 2?
  20. 20.Is 11563 divisible by 15?
  21. 21.Is 108310 divisible by 20?
  22. 22.Is 30975 divisible by 30?
  23. 23.Is 6979 divisible by 3?
  24. 24.Is 32368 divisible by 30?
  25. 25.Is 3166 divisible by 2?
  26. 26.Is 68609 divisible by 19?
  27. 27.Is 14984 divisible by 5?
  28. 28.Is 164546 divisible by 29?
  29. 29.Is 146804 divisible by 23?
  30. 30.Is 16559 divisible by 9?
  31. 31.Is 173675 divisible by 29?
  32. 32.Is 3656 divisible by 2?
  33. 33.Is 646 divisible by 19?
  34. 34.Is 84280 divisible by 24?
  35. 35.Is 3683 divisible by 2?
  36. 36.Is 32481 divisible by 7?
  37. 37.Is 23027 divisible by 4?
  38. 38.Is 43060 divisible by 10?
  39. 39.Is 191244 divisible by 30?
  40. 40.Is 56695 divisible by 15?

Answer key

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

Free vedic maths lessons, practice and worksheets at talentjr.in/vedic-maths