← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 183 · 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 104454 divisible by 18?
  2. 2.Is 12166 divisible by 7?
  3. 3.Is 184020 divisible by 30?
  4. 4.Is 109350 divisible by 18?
  5. 5.Is 58210 divisible by 10?
  6. 6.Is 910 divisible by 5?
  7. 7.Is 41306 divisible by 9?
  8. 8.Is 54942 divisible by 29?
  9. 9.Is 65484 divisible by 12?
  10. 10.Is 92511 divisible by 19?
  11. 11.Is 76404 divisible by 12?
  12. 12.Is 43524 divisible by 8?
  13. 13.Is 4063 divisible by 2?
  14. 14.Is 28649 divisible by 12?
  15. 15.Is 29026 divisible by 17?
  16. 16.Is 19098 divisible by 7?
  17. 17.Is 29056 divisible by 8?
  18. 18.Is 34861 divisible by 11?
  19. 19.Is 45331 divisible by 13?
  20. 20.Is 22051 divisible by 12?
  21. 21.Is 8728 divisible by 2?
  22. 22.Is 176514 divisible by 30?
  23. 23.Is 6829 divisible by 15?
  24. 24.Is 5434 divisible by 3?
  25. 25.Is 504 divisible by 6?
  26. 26.Is 153216 divisible by 23?
  27. 27.Is 100521 divisible by 17?
  28. 28.Is 20970 divisible by 30?
  29. 29.Is 13677 divisible by 3?
  30. 30.Is 41943 divisible by 18?
  31. 31.Is 7668 divisible by 3?
  32. 32.Is 69479 divisible by 17?
  33. 33.Is 784 divisible by 2?
  34. 34.Is 13437 divisible by 3?
  35. 35.Is 66899 divisible by 11?
  36. 36.Is 30012 divisible by 6?
  37. 37.Is 47429 divisible by 8?
  38. 38.Is 2497 divisible by 2?
  39. 39.Is 20997 divisible by 13?
  40. 40.Is 67185 divisible by 19?

Answer key

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

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