← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 405 · 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 5608 divisible by 2?
  2. 2.Is 41814 divisible by 9?
  3. 3.Is 11519 divisible by 3?
  4. 4.Is 2638 divisible by 6?
  5. 5.Is 107621 divisible by 18?
  6. 6.Is 45972 divisible by 9?
  7. 7.Is 33722 divisible by 15?
  8. 8.Is 14553 divisible by 7?
  9. 9.Is 16548 divisible by 24?
  10. 10.Is 50928 divisible by 13?
  11. 11.Is 13408 divisible by 6?
  12. 12.Is 63338 divisible by 18?
  13. 13.Is 14144 divisible by 13?
  14. 14.Is 13700 divisible by 10?
  15. 15.Is 22359 divisible by 4?
  16. 16.Is 51201 divisible by 9?
  17. 17.Is 90012 divisible by 20?
  18. 18.Is 40029 divisible by 7?
  19. 19.Is 40800 divisible by 15?
  20. 20.Is 1223 divisible by 3?
  21. 21.Is 10713 divisible by 15?
  22. 22.Is 19795 divisible by 5?
  23. 23.Is 29963 divisible by 19?
  24. 24.Is 42900 divisible by 13?
  25. 25.Is 37665 divisible by 8?
  26. 26.Is 103700 divisible by 17?
  27. 27.Is 156467 divisible by 30?
  28. 28.Is 5952 divisible by 12?
  29. 29.Is 7488 divisible by 12?
  30. 30.Is 104720 divisible by 17?
  31. 31.Is 2426 divisible by 19?
  32. 32.Is 22880 divisible by 8?
  33. 33.Is 19947 divisible by 12?
  34. 34.Is 7850 divisible by 2?
  35. 35.Is 26761 divisible by 13?
  36. 36.Is 23389 divisible by 5?
  37. 37.Is 11878 divisible by 7?
  38. 38.Is 6491 divisible by 4?
  39. 39.Is 102379 divisible by 23?
  40. 40.Is 130780 divisible by 24?

Answer key

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

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