← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 706 · 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 70519 divisible by 24?
  2. 2.Is 34104 divisible by 8?
  3. 3.Is 42006 divisible by 20?
  4. 4.Is 47580 divisible by 30?
  5. 5.Is 29297 divisible by 24?
  6. 6.Is 16368 divisible by 4?
  7. 7.Is 39000 divisible by 6?
  8. 8.Is 30419 divisible by 6?
  9. 9.Is 98042 divisible by 24?
  10. 10.Is 68228 divisible by 15?
  11. 11.Is 418 divisible by 4?
  12. 12.Is 5317 divisible by 2?
  13. 13.Is 15961 divisible by 3?
  14. 14.Is 2518 divisible by 4?
  15. 15.Is 38064 divisible by 8?
  16. 16.Is 10595 divisible by 3?
  17. 17.Is 30360 divisible by 10?
  18. 18.Is 24727 divisible by 12?
  19. 19.Is 18135 divisible by 3?
  20. 20.Is 111000 divisible by 24?
  21. 21.Is 32702 divisible by 30?
  22. 22.Is 109905 divisible by 29?
  23. 23.Is 97416 divisible by 24?
  24. 24.Is 6346 divisible by 2?
  25. 25.Is 32999 divisible by 5?
  26. 26.Is 25494 divisible by 6?
  27. 27.Is 25218 divisible by 10?
  28. 28.Is 4146 divisible by 3?
  29. 29.Is 111023 divisible by 18?
  30. 30.Is 97498 divisible by 19?
  31. 31.Is 17669 divisible by 6?
  32. 32.Is 38406 divisible by 6?
  33. 33.Is 15840 divisible by 18?
  34. 34.Is 20047 divisible by 30?
  35. 35.Is 52788 divisible by 12?
  36. 36.Is 9084 divisible by 3?
  37. 37.Is 42627 divisible by 7?
  38. 38.Is 12556 divisible by 2?
  39. 39.Is 5013 divisible by 3?
  40. 40.Is 42720 divisible by 20?

Answer key

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

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