← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 38 · 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 92620 divisible by 20?
  2. 2.Is 37596 divisible by 13?
  3. 3.Is 36439 divisible by 15?
  4. 4.Is 22667 divisible by 5?
  5. 5.Is 6670 divisible by 4?
  6. 6.Is 62964 divisible by 18?
  7. 7.Is 167450 divisible by 29?
  8. 8.Is 97851 divisible by 17?
  9. 9.Is 26496 divisible by 6?
  10. 10.Is 81414 divisible by 24?
  11. 11.Is 16730 divisible by 10?
  12. 12.Is 54696 divisible by 8?
  13. 13.Is 16172 divisible by 4?
  14. 14.Is 7635 divisible by 2?
  15. 15.Is 25500 divisible by 10?
  16. 16.Is 18630 divisible by 5?
  17. 17.Is 113281 divisible by 19?
  18. 18.Is 6588 divisible by 2?
  19. 19.Is 73872 divisible by 12?
  20. 20.Is 3977 divisible by 2?
  21. 21.Is 6793 divisible by 6?
  22. 22.Is 66750 divisible by 10?
  23. 23.Is 71274 divisible by 19?
  24. 24.Is 63009 divisible by 15?
  25. 25.Is 80202 divisible by 15?
  26. 26.Is 31190 divisible by 19?
  27. 27.Is 85543 divisible by 30?
  28. 28.Is 49150 divisible by 10?
  29. 29.Is 69250 divisible by 10?
  30. 30.Is 74008 divisible by 29?
  31. 31.Is 15750 divisible by 7?
  32. 32.Is 41040 divisible by 15?
  33. 33.Is 8881 divisible by 2?
  34. 34.Is 6663 divisible by 2?
  35. 35.Is 9525 divisible by 7?
  36. 36.Is 67110 divisible by 10?
  37. 37.Is 125319 divisible by 19?
  38. 38.Is 5396 divisible by 19?
  39. 39.Is 7134 divisible by 3?
  40. 40.Is 15600 divisible by 13?

Answer key

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

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