← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 26 · 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 41250 divisible by 11?
  2. 2.Is 32873 divisible by 29?
  3. 3.Is 38927 divisible by 11?
  4. 4.Is 91360 divisible by 20?
  5. 5.Is 2547 divisible by 3?
  6. 6.Is 120039 divisible by 23?
  7. 7.Is 358 divisible by 7?
  8. 8.Is 5053 divisible by 7?
  9. 9.Is 12399 divisible by 3?
  10. 10.Is 35128 divisible by 6?
  11. 11.Is 2513 divisible by 2?
  12. 12.Is 2986 divisible by 7?
  13. 13.Is 26352 divisible by 12?
  14. 14.Is 18927 divisible by 3?
  15. 15.Is 58344 divisible by 17?
  16. 16.Is 23942 divisible by 17?
  17. 17.Is 3557 divisible by 6?
  18. 18.Is 96450 divisible by 15?
  19. 19.Is 103983 divisible by 23?
  20. 20.Is 81672 divisible by 24?
  21. 21.Is 66117 divisible by 23?
  22. 22.Is 95703 divisible by 19?
  23. 23.Is 60030 divisible by 10?
  24. 24.Is 20496 divisible by 12?
  25. 25.Is 118620 divisible by 20?
  26. 26.Is 11756 divisible by 17?
  27. 27.Is 46158 divisible by 7?
  28. 28.Is 105760 divisible by 20?
  29. 29.Is 1366 divisible by 4?
  30. 30.Is 16858 divisible by 6?
  31. 31.Is 70100 divisible by 20?
  32. 32.Is 9448 divisible by 8?
  33. 33.Is 25181 divisible by 11?
  34. 34.Is 115005 divisible by 17?
  35. 35.Is 60996 divisible by 17?
  36. 36.Is 10416 divisible by 2?
  37. 37.Is 17645 divisible by 5?
  38. 38.Is 37138 divisible by 6?
  39. 39.Is 133998 divisible by 23?
  40. 40.Is 97641 divisible by 15?

Answer key

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

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