← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 404 · 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 17004 divisible by 6?
  2. 2.Is 14421 divisible by 3?
  3. 3.Is 67577 divisible by 29?
  4. 4.Is 12015 divisible by 13?
  5. 5.Is 44640 divisible by 20?
  6. 6.Is 42021 divisible by 29?
  7. 7.Is 27936 divisible by 9?
  8. 8.Is 480 divisible by 5?
  9. 9.Is 1221 divisible by 11?
  10. 10.Is 61551 divisible by 20?
  11. 11.Is 47300 divisible by 11?
  12. 12.Is 22658 divisible by 4?
  13. 13.Is 8871 divisible by 8?
  14. 14.Is 20230 divisible by 9?
  15. 15.Is 90678 divisible by 17?
  16. 16.Is 18354 divisible by 7?
  17. 17.Is 132184 divisible by 29?
  18. 18.Is 3396 divisible by 3?
  19. 19.Is 19814 divisible by 13?
  20. 20.Is 57329 divisible by 30?
  21. 21.Is 51408 divisible by 12?
  22. 22.Is 1776 divisible by 8?
  23. 23.Is 45824 divisible by 8?
  24. 24.Is 21063 divisible by 17?
  25. 25.Is 4416 divisible by 23?
  26. 26.Is 36996 divisible by 12?
  27. 27.Is 5970 divisible by 5?
  28. 28.Is 11865 divisible by 5?
  29. 29.Is 37027 divisible by 18?
  30. 30.Is 2489 divisible by 8?
  31. 31.Is 40914 divisible by 6?
  32. 32.Is 14778 divisible by 8?
  33. 33.Is 1190 divisible by 10?
  34. 34.Is 32465 divisible by 5?
  35. 35.Is 129601 divisible by 29?
  36. 36.Is 19148 divisible by 4?
  37. 37.Is 40108 divisible by 6?
  38. 38.Is 17052 divisible by 12?
  39. 39.Is 117504 divisible by 20?
  40. 40.Is 93032 divisible by 17?

Answer key

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

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