← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 940 · 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 57950 divisible by 19?
  2. 2.Is 23270 divisible by 13?
  3. 3.Is 1421 divisible by 2?
  4. 4.Is 5976 divisible by 12?
  5. 5.Is 1111 divisible by 6?
  6. 6.Is 11610 divisible by 10?
  7. 7.Is 24220 divisible by 24?
  8. 8.Is 1799 divisible by 7?
  9. 9.Is 18375 divisible by 4?
  10. 10.Is 25961 divisible by 13?
  11. 11.Is 656 divisible by 2?
  12. 12.Is 39873 divisible by 13?
  13. 13.Is 5712 divisible by 12?
  14. 14.Is 205530 divisible by 30?
  15. 15.Is 20472 divisible by 3?
  16. 16.Is 52837 divisible by 30?
  17. 17.Is 29477 divisible by 5?
  18. 18.Is 5769 divisible by 9?
  19. 19.Is 5585 divisible by 3?
  20. 20.Is 16182 divisible by 6?
  21. 21.Is 14443 divisible by 11?
  22. 22.Is 114471 divisible by 29?
  23. 23.Is 28399 divisible by 8?
  24. 24.Is 50889 divisible by 12?
  25. 25.Is 11849 divisible by 2?
  26. 26.Is 42973 divisible by 10?
  27. 27.Is 7365 divisible by 2?
  28. 28.Is 16095 divisible by 4?
  29. 29.Is 32222 divisible by 7?
  30. 30.Is 2434 divisible by 2?
  31. 31.Is 29272 divisible by 8?
  32. 32.Is 199546 divisible by 30?
  33. 33.Is 187159 divisible by 30?
  34. 34.Is 42824 divisible by 9?
  35. 35.Is 42738 divisible by 30?
  36. 36.Is 86066 divisible by 23?
  37. 37.Is 2651 divisible by 3?
  38. 38.Is 139296 divisible by 24?
  39. 39.Is 49747 divisible by 8?
  40. 40.Is 27560 divisible by 4?

Answer key

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

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