← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 904 · 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 7269 divisible by 3?
  2. 2.Is 34985 divisible by 5?
  3. 3.Is 27956 divisible by 8?
  4. 4.Is 5023 divisible by 2?
  5. 5.Is 5671 divisible by 2?
  6. 6.Is 2511 divisible by 30?
  7. 7.Is 8466 divisible by 3?
  8. 8.Is 56168 divisible by 10?
  9. 9.Is 144536 divisible by 29?
  10. 10.Is 129020 divisible by 24?
  11. 11.Is 10015 divisible by 2?
  12. 12.Is 9956 divisible by 19?
  13. 13.Is 5286 divisible by 7?
  14. 14.Is 14959 divisible by 4?
  15. 15.Is 61199 divisible by 19?
  16. 16.Is 37422 divisible by 30?
  17. 17.Is 41439 divisible by 19?
  18. 18.Is 5687 divisible by 11?
  19. 19.Is 40834 divisible by 17?
  20. 20.Is 2820 divisible by 5?
  21. 21.Is 39494 divisible by 6?
  22. 22.Is 24404 divisible by 15?
  23. 23.Is 12692 divisible by 19?
  24. 24.Is 44604 divisible by 18?
  25. 25.Is 59780 divisible by 23?
  26. 26.Is 10455 divisible by 15?
  27. 27.Is 182298 divisible by 30?
  28. 28.Is 35150 divisible by 11?
  29. 29.Is 54142 divisible by 17?
  30. 30.Is 16224 divisible by 9?
  31. 31.Is 58035 divisible by 15?
  32. 32.Is 17252 divisible by 6?
  33. 33.Is 2346 divisible by 3?
  34. 34.Is 110055 divisible by 29?
  35. 35.Is 3565 divisible by 2?
  36. 36.Is 77843 divisible by 12?
  37. 37.Is 58956 divisible by 12?
  38. 38.Is 4209 divisible by 23?
  39. 39.Is 10614 divisible by 2?
  40. 40.Is 23467 divisible by 29?

Answer key

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

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