← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 131 · 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 36860 divisible by 20?
  2. 2.Is 14024 divisible by 3?
  3. 3.Is 38760 divisible by 6?
  4. 4.Is 68817 divisible by 12?
  5. 5.Is 34155 divisible by 15?
  6. 6.Is 39180 divisible by 12?
  7. 7.Is 11607 divisible by 2?
  8. 8.Is 36455 divisible by 23?
  9. 9.Is 95337 divisible by 23?
  10. 10.Is 15471 divisible by 11?
  11. 11.Is 52717 divisible by 11?
  12. 12.Is 13156 divisible by 19?
  13. 13.Is 44460 divisible by 12?
  14. 14.Is 33930 divisible by 30?
  15. 15.Is 10185 divisible by 9?
  16. 16.Is 27931 divisible by 6?
  17. 17.Is 32529 divisible by 5?
  18. 18.Is 68685 divisible by 17?
  19. 19.Is 135111 divisible by 30?
  20. 20.Is 3307 divisible by 3?
  21. 21.Is 4563 divisible by 7?
  22. 22.Is 4826 divisible by 11?
  23. 23.Is 60504 divisible by 12?
  24. 24.Is 3388 divisible by 2?
  25. 25.Is 35024 divisible by 18?
  26. 26.Is 72860 divisible by 19?
  27. 27.Is 141392 divisible by 30?
  28. 28.Is 1668 divisible by 2?
  29. 29.Is 27978 divisible by 6?
  30. 30.Is 2568 divisible by 8?
  31. 31.Is 11630 divisible by 10?
  32. 32.Is 6996 divisible by 2?
  33. 33.Is 35396 divisible by 13?
  34. 34.Is 100947 divisible by 23?
  35. 35.Is 112549 divisible by 18?
  36. 36.Is 55356 divisible by 12?
  37. 37.Is 16216 divisible by 4?
  38. 38.Is 137040 divisible by 20?
  39. 39.Is 30078 divisible by 6?
  40. 40.Is 13485 divisible by 2?

Answer key

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

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