← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 456 · 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 5832 divisible by 9?
  2. 2.Is 38456 divisible by 8?
  3. 3.Is 33429 divisible by 18?
  4. 4.Is 25246 divisible by 13?
  5. 5.Is 43909 divisible by 19?
  6. 6.Is 93615 divisible by 19?
  7. 7.Is 165933 divisible by 30?
  8. 8.Is 49800 divisible by 15?
  9. 9.Is 15715 divisible by 30?
  10. 10.Is 41580 divisible by 17?
  11. 11.Is 20718 divisible by 4?
  12. 12.Is 135401 divisible by 23?
  13. 13.Is 7609 divisible by 5?
  14. 14.Is 144272 divisible by 24?
  15. 15.Is 900 divisible by 4?
  16. 16.Is 30734 divisible by 6?
  17. 17.Is 46340 divisible by 20?
  18. 18.Is 15722 divisible by 3?
  19. 19.Is 49708 divisible by 23?
  20. 20.Is 80190 divisible by 13?
  21. 21.Is 19704 divisible by 8?
  22. 22.Is 61387 divisible by 23?
  23. 23.Is 12234 divisible by 5?
  24. 24.Is 78075 divisible by 15?
  25. 25.Is 22050 divisible by 10?
  26. 26.Is 31543 divisible by 13?
  27. 27.Is 22217 divisible by 13?
  28. 28.Is 50173 divisible by 13?
  29. 29.Is 21904 divisible by 8?
  30. 30.Is 9684 divisible by 9?
  31. 31.Is 56197 divisible by 29?
  32. 32.Is 93780 divisible by 15?
  33. 33.Is 51475 divisible by 29?
  34. 34.Is 43217 divisible by 30?
  35. 35.Is 66579 divisible by 11?
  36. 36.Is 28040 divisible by 5?
  37. 37.Is 51975 divisible by 11?
  38. 38.Is 24633 divisible by 10?
  39. 39.Is 2880 divisible by 8?
  40. 40.Is 15605 divisible by 5?

Answer key

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

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