← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 937 · 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 464 divisible by 5?
  2. 2.Is 120061 divisible by 18?
  3. 3.Is 36247 divisible by 10?
  4. 4.Is 74513 divisible by 20?
  5. 5.Is 87270 divisible by 30?
  6. 6.Is 405 divisible by 3?
  7. 7.Is 27800 divisible by 5?
  8. 8.Is 1623 divisible by 3?
  9. 9.Is 77931 divisible by 12?
  10. 10.Is 15827 divisible by 7?
  11. 11.Is 7176 divisible by 23?
  12. 12.Is 3625 divisible by 29?
  13. 13.Is 11850 divisible by 3?
  14. 14.Is 19190 divisible by 19?
  15. 15.Is 3254 divisible by 3?
  16. 16.Is 147338 divisible by 23?
  17. 17.Is 45747 divisible by 12?
  18. 18.Is 21404 divisible by 29?
  19. 19.Is 8906 divisible by 4?
  20. 20.Is 43212 divisible by 13?
  21. 21.Is 102637 divisible by 15?
  22. 22.Is 20450 divisible by 23?
  23. 23.Is 9272 divisible by 2?
  24. 24.Is 18255 divisible by 20?
  25. 25.Is 70350 divisible by 15?
  26. 26.Is 38845 divisible by 17?
  27. 27.Is 11329 divisible by 6?
  28. 28.Is 13933 divisible by 2?
  29. 29.Is 33956 divisible by 6?
  30. 30.Is 38320 divisible by 6?
  31. 31.Is 124890 divisible by 30?
  32. 32.Is 24240 divisible by 30?
  33. 33.Is 10370 divisible by 17?
  34. 34.Is 2277 divisible by 9?
  35. 35.Is 957 divisible by 6?
  36. 36.Is 288 divisible by 12?
  37. 37.Is 29722 divisible by 7?
  38. 38.Is 10005 divisible by 15?
  39. 39.Is 10968 divisible by 24?
  40. 40.Is 18080 divisible by 11?

Answer key

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