← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 299 · 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 64597 divisible by 10?
  2. 2.Is 2986 divisible by 20?
  3. 3.Is 127500 divisible by 30?
  4. 4.Is 32036 divisible by 10?
  5. 5.Is 44174 divisible by 13?
  6. 6.Is 6603 divisible by 2?
  7. 7.Is 64106 divisible by 10?
  8. 8.Is 15834 divisible by 29?
  9. 9.Is 183948 divisible by 30?
  10. 10.Is 99510 divisible by 17?
  11. 11.Is 2920 divisible by 20?
  12. 12.Is 15055 divisible by 5?
  13. 13.Is 37368 divisible by 12?
  14. 14.Is 4086 divisible by 6?
  15. 15.Is 13663 divisible by 3?
  16. 16.Is 88920 divisible by 13?
  17. 17.Is 12097 divisible by 3?
  18. 18.Is 54224 divisible by 8?
  19. 19.Is 30109 divisible by 29?
  20. 20.Is 53091 divisible by 15?
  21. 21.Is 1772 divisible by 2?
  22. 22.Is 4263 divisible by 29?
  23. 23.Is 28548 divisible by 11?
  24. 24.Is 421 divisible by 2?
  25. 25.Is 28154 divisible by 7?
  26. 26.Is 302 divisible by 5?
  27. 27.Is 31940 divisible by 6?
  28. 28.Is 36270 divisible by 18?
  29. 29.Is 48086 divisible by 24?
  30. 30.Is 34542 divisible by 9?
  31. 31.Is 42108 divisible by 29?
  32. 32.Is 119910 divisible by 30?
  33. 33.Is 28242 divisible by 13?
  34. 34.Is 24936 divisible by 4?
  35. 35.Is 61245 divisible by 15?
  36. 36.Is 125657 divisible by 30?
  37. 37.Is 1500 divisible by 12?
  38. 38.Is 29377 divisible by 30?
  39. 39.Is 39525 divisible by 19?
  40. 40.Is 11080 divisible by 2?

Answer key

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

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