← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 751 · 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 31326 divisible by 7?
  2. 2.Is 55824 divisible by 8?
  3. 3.Is 3524 divisible by 2?
  4. 4.Is 17526 divisible by 23?
  5. 5.Is 20744 divisible by 3?
  6. 6.Is 103409 divisible by 17?
  7. 7.Is 22502 divisible by 13?
  8. 8.Is 6618 divisible by 2?
  9. 9.Is 168420 divisible by 29?
  10. 10.Is 123810 divisible by 30?
  11. 11.Is 23123 divisible by 5?
  12. 12.Is 4317 divisible by 2?
  13. 13.Is 75829 divisible by 13?
  14. 14.Is 30247 divisible by 7?
  15. 15.Is 31739 divisible by 17?
  16. 16.Is 6519 divisible by 12?
  17. 17.Is 49342 divisible by 12?
  18. 18.Is 16824 divisible by 5?
  19. 19.Is 8127 divisible by 9?
  20. 20.Is 36665 divisible by 7?
  21. 21.Is 130321 divisible by 19?
  22. 22.Is 45102 divisible by 8?
  23. 23.Is 53220 divisible by 10?
  24. 24.Is 41172 divisible by 10?
  25. 25.Is 39022 divisible by 7?
  26. 26.Is 56560 divisible by 24?
  27. 27.Is 52097 divisible by 9?
  28. 28.Is 15180 divisible by 20?
  29. 29.Is 16245 divisible by 3?
  30. 30.Is 67582 divisible by 20?
  31. 31.Is 44774 divisible by 13?
  32. 32.Is 132112 divisible by 23?
  33. 33.Is 25848 divisible by 8?
  34. 34.Is 31546 divisible by 8?
  35. 35.Is 47790 divisible by 15?
  36. 36.Is 167020 divisible by 24?
  37. 37.Is 39960 divisible by 12?
  38. 38.Is 15540 divisible by 3?
  39. 39.Is 27815 divisible by 13?
  40. 40.Is 68607 divisible by 19?

Answer key

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

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