← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 681 · 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 14092 divisible by 20?
  2. 2.Is 615 divisible by 15?
  3. 3.Is 20636 divisible by 7?
  4. 4.Is 36848 divisible by 7?
  5. 5.Is 7005 divisible by 3?
  6. 6.Is 5705 divisible by 7?
  7. 7.Is 26632 divisible by 8?
  8. 8.Is 53703 divisible by 13?
  9. 9.Is 21650 divisible by 10?
  10. 10.Is 139838 divisible by 30?
  11. 11.Is 103824 divisible by 18?
  12. 12.Is 8387 divisible by 3?
  13. 13.Is 40457 divisible by 23?
  14. 14.Is 25102 divisible by 6?
  15. 15.Is 48281 divisible by 7?
  16. 16.Is 1505 divisible by 5?
  17. 17.Is 34272 divisible by 6?
  18. 18.Is 687 divisible by 8?
  19. 19.Is 13933 divisible by 12?
  20. 20.Is 26212 divisible by 7?
  21. 21.Is 54580 divisible by 8?
  22. 22.Is 35781 divisible by 20?
  23. 23.Is 87426 divisible by 18?
  24. 24.Is 18834 divisible by 6?
  25. 25.Is 21140 divisible by 6?
  26. 26.Is 80729 divisible by 29?
  27. 27.Is 6580 divisible by 11?
  28. 28.Is 37376 divisible by 8?
  29. 29.Is 27408 divisible by 19?
  30. 30.Is 23123 divisible by 23?
  31. 31.Is 87312 divisible by 13?
  32. 32.Is 57347 divisible by 11?
  33. 33.Is 21672 divisible by 12?
  34. 34.Is 95885 divisible by 17?
  35. 35.Is 154620 divisible by 30?
  36. 36.Is 31141 divisible by 6?
  37. 37.Is 18616 divisible by 4?
  38. 38.Is 120521 divisible by 23?
  39. 39.Is 7560 divisible by 8?
  40. 40.Is 113636 divisible by 18?

Answer key

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

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