← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 113 · 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 18123 divisible by 4?
  2. 2.Is 32958 divisible by 9?
  3. 3.Is 108157 divisible by 18?
  4. 4.Is 22660 divisible by 20?
  5. 5.Is 60822 divisible by 9?
  6. 6.Is 69458 divisible by 10?
  7. 7.Is 74764 divisible by 13?
  8. 8.Is 29581 divisible by 13?
  9. 9.Is 3504 divisible by 8?
  10. 10.Is 32332 divisible by 6?
  11. 11.Is 35808 divisible by 13?
  12. 12.Is 39096 divisible by 18?
  13. 13.Is 6764 divisible by 4?
  14. 14.Is 8878 divisible by 5?
  15. 15.Is 12249 divisible by 2?
  16. 16.Is 91858 divisible by 17?
  17. 17.Is 51002 divisible by 11?
  18. 18.Is 10679 divisible by 4?
  19. 19.Is 73851 divisible by 12?
  20. 20.Is 21753 divisible by 9?
  21. 21.Is 13556 divisible by 4?
  22. 22.Is 92568 divisible by 29?
  23. 23.Is 66172 divisible by 12?
  24. 24.Is 3278 divisible by 2?
  25. 25.Is 20637 divisible by 9?
  26. 26.Is 43865 divisible by 19?
  27. 27.Is 159774 divisible by 23?
  28. 28.Is 34146 divisible by 10?
  29. 29.Is 10603 divisible by 29?
  30. 30.Is 38896 divisible by 23?
  31. 31.Is 42251 divisible by 7?
  32. 32.Is 74501 divisible by 29?
  33. 33.Is 3292 divisible by 3?
  34. 34.Is 113952 divisible by 24?
  35. 35.Is 61390 divisible by 12?
  36. 36.Is 4342 divisible by 2?
  37. 37.Is 35271 divisible by 18?
  38. 38.Is 1833 divisible by 2?
  39. 39.Is 7029 divisible by 2?
  40. 40.Is 5080 divisible by 5?

Answer key

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

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