← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 843 · 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 34550 divisible by 11?
  2. 2.Is 31498 divisible by 5?
  3. 3.Is 28076 divisible by 7?
  4. 4.Is 150000 divisible by 24?
  5. 5.Is 7210 divisible by 9?
  6. 6.Is 71541 divisible by 19?
  7. 7.Is 108784 divisible by 17?
  8. 8.Is 58011 divisible by 9?
  9. 9.Is 331 divisible by 3?
  10. 10.Is 49820 divisible by 10?
  11. 11.Is 100242 divisible by 18?
  12. 12.Is 65472 divisible by 12?
  13. 13.Is 12363 divisible by 20?
  14. 14.Is 23841 divisible by 9?
  15. 15.Is 3645 divisible by 20?
  16. 16.Is 33192 divisible by 8?
  17. 17.Is 58880 divisible by 12?
  18. 18.Is 15585 divisible by 3?
  19. 19.Is 101430 divisible by 30?
  20. 20.Is 46545 divisible by 11?
  21. 21.Is 54359 divisible by 18?
  22. 22.Is 9798 divisible by 2?
  23. 23.Is 14724 divisible by 4?
  24. 24.Is 19500 divisible by 4?
  25. 25.Is 38703 divisible by 7?
  26. 26.Is 159958 divisible by 24?
  27. 27.Is 11423 divisible by 24?
  28. 28.Is 47368 divisible by 17?
  29. 29.Is 74796 divisible by 12?
  30. 30.Is 9552 divisible by 2?
  31. 31.Is 10976 divisible by 4?
  32. 32.Is 25636 divisible by 4?
  33. 33.Is 16733 divisible by 10?
  34. 34.Is 41099 divisible by 13?
  35. 35.Is 67109 divisible by 17?
  36. 36.Is 31761 divisible by 5?
  37. 37.Is 12822 divisible by 2?
  38. 38.Is 41160 divisible by 20?
  39. 39.Is 15545 divisible by 5?
  40. 40.Is 69118 divisible by 12?

Answer key

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

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