← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 454 · 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 19747 divisible by 29?
  2. 2.Is 108429 divisible by 24?
  3. 3.Is 19821 divisible by 3?
  4. 4.Is 5253 divisible by 7?
  5. 5.Is 22060 divisible by 7?
  6. 6.Is 9860 divisible by 2?
  7. 7.Is 67718 divisible by 24?
  8. 8.Is 31731 divisible by 13?
  9. 9.Is 87408 divisible by 29?
  10. 10.Is 123880 divisible by 30?
  11. 11.Is 16952 divisible by 8?
  12. 12.Is 12223 divisible by 2?
  13. 13.Is 79597 divisible by 13?
  14. 14.Is 37494 divisible by 18?
  15. 15.Is 137141 divisible by 29?
  16. 16.Is 8953 divisible by 12?
  17. 17.Is 21177 divisible by 20?
  18. 18.Is 68280 divisible by 20?
  19. 19.Is 48856 divisible by 8?
  20. 20.Is 17020 divisible by 20?
  21. 21.Is 7029 divisible by 11?
  22. 22.Is 31230 divisible by 6?
  23. 23.Is 6888 divisible by 6?
  24. 24.Is 7861 divisible by 3?
  25. 25.Is 20603 divisible by 5?
  26. 26.Is 1508 divisible by 29?
  27. 27.Is 33696 divisible by 24?
  28. 28.Is 107412 divisible by 17?
  29. 29.Is 119952 divisible by 18?
  30. 30.Is 21735 divisible by 9?
  31. 31.Is 27180 divisible by 18?
  32. 32.Is 40101 divisible by 6?
  33. 33.Is 130663 divisible by 24?
  34. 34.Is 137640 divisible by 24?
  35. 35.Is 15723 divisible by 6?
  36. 36.Is 82416 divisible by 17?
  37. 37.Is 28311 divisible by 11?
  38. 38.Is 58720 divisible by 11?
  39. 39.Is 39655 divisible by 7?
  40. 40.Is 57432 divisible by 24?

Answer key

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

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