← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 550 · 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 120 divisible by 3?
  2. 2.Is 53735 divisible by 13?
  3. 3.Is 16210 divisible by 5?
  4. 4.Is 124903 divisible by 29?
  5. 5.Is 43668 divisible by 9?
  6. 6.Is 92391 divisible by 23?
  7. 7.Is 46998 divisible by 7?
  8. 8.Is 181692 divisible by 30?
  9. 9.Is 24994 divisible by 4?
  10. 10.Is 4690 divisible by 30?
  11. 11.Is 29698 divisible by 6?
  12. 12.Is 51813 divisible by 9?
  13. 13.Is 24332 divisible by 9?
  14. 14.Is 43307 divisible by 9?
  15. 15.Is 2298 divisible by 3?
  16. 16.Is 13964 divisible by 4?
  17. 17.Is 16064 divisible by 3?
  18. 18.Is 32071 divisible by 5?
  19. 19.Is 85419 divisible by 30?
  20. 20.Is 45015 divisible by 11?
  21. 21.Is 114925 divisible by 18?
  22. 22.Is 127213 divisible by 23?
  23. 23.Is 3604 divisible by 3?
  24. 24.Is 6463 divisible by 23?
  25. 25.Is 155520 divisible by 30?
  26. 26.Is 9595 divisible by 6?
  27. 27.Is 11207 divisible by 8?
  28. 28.Is 71520 divisible by 30?
  29. 29.Is 25496 divisible by 4?
  30. 30.Is 88060 divisible by 20?
  31. 31.Is 58712 divisible by 23?
  32. 32.Is 51948 divisible by 9?
  33. 33.Is 39166 divisible by 7?
  34. 34.Is 17595 divisible by 17?
  35. 35.Is 119968 divisible by 23?
  36. 36.Is 22933 divisible by 15?
  37. 37.Is 53336 divisible by 8?
  38. 38.Is 66122 divisible by 10?
  39. 39.Is 4675 divisible by 7?
  40. 40.Is 4419 divisible by 7?

Answer key

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

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