← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 881 · 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 6809 divisible by 2?
  2. 2.Is 10243 divisible by 8?
  3. 3.Is 30042 divisible by 11?
  4. 4.Is 5673 divisible by 2?
  5. 5.Is 52920 divisible by 30?
  6. 6.Is 131461 divisible by 19?
  7. 7.Is 86556 divisible by 17?
  8. 8.Is 51583 divisible by 15?
  9. 9.Is 18115 divisible by 5?
  10. 10.Is 71444 divisible by 24?
  11. 11.Is 135540 divisible by 23?
  12. 12.Is 61758 divisible by 9?
  13. 13.Is 156840 divisible by 24?
  14. 14.Is 136580 divisible by 20?
  15. 15.Is 2841 divisible by 3?
  16. 16.Is 113624 divisible by 19?
  17. 17.Is 19663 divisible by 3?
  18. 18.Is 67700 divisible by 10?
  19. 19.Is 32700 divisible by 15?
  20. 20.Is 183855 divisible by 29?
  21. 21.Is 145320 divisible by 30?
  22. 22.Is 1460 divisible by 11?
  23. 23.Is 142939 divisible by 23?
  24. 24.Is 98089 divisible by 19?
  25. 25.Is 47657 divisible by 19?
  26. 26.Is 22030 divisible by 17?
  27. 27.Is 16308 divisible by 3?
  28. 28.Is 33826 divisible by 13?
  29. 29.Is 31551 divisible by 20?
  30. 30.Is 55410 divisible by 15?
  31. 31.Is 11819 divisible by 4?
  32. 32.Is 20043 divisible by 6?
  33. 33.Is 4849 divisible by 3?
  34. 34.Is 15886 divisible by 7?
  35. 35.Is 27282 divisible by 6?
  36. 36.Is 29930 divisible by 13?
  37. 37.Is 23250 divisible by 15?
  38. 38.Is 13635 divisible by 2?
  39. 39.Is 24744 divisible by 6?
  40. 40.Is 21615 divisible by 29?

Answer key

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

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