← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 94 · 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 15817 divisible by 3?
  2. 2.Is 15462 divisible by 20?
  3. 3.Is 54354 divisible by 11?
  4. 4.Is 70394 divisible by 12?
  5. 5.Is 16893 divisible by 13?
  6. 6.Is 50947 divisible by 11?
  7. 7.Is 7960 divisible by 18?
  8. 8.Is 137766 divisible by 20?
  9. 9.Is 24216 divisible by 13?
  10. 10.Is 12150 divisible by 30?
  11. 11.Is 4867 divisible by 3?
  12. 12.Is 107506 divisible by 30?
  13. 13.Is 44163 divisible by 24?
  14. 14.Is 66540 divisible by 30?
  15. 15.Is 41001 divisible by 8?
  16. 16.Is 85070 divisible by 17?
  17. 17.Is 54155 divisible by 11?
  18. 18.Is 46070 divisible by 12?
  19. 19.Is 1863 divisible by 20?
  20. 20.Is 9150 divisible by 5?
  21. 21.Is 44357 divisible by 10?
  22. 22.Is 817 divisible by 3?
  23. 23.Is 97020 divisible by 30?
  24. 24.Is 23220 divisible by 9?
  25. 25.Is 19682 divisible by 13?
  26. 26.Is 8976 divisible by 15?
  27. 27.Is 17294 divisible by 10?
  28. 28.Is 138552 divisible by 23?
  29. 29.Is 46517 divisible by 8?
  30. 30.Is 24446 divisible by 4?
  31. 31.Is 22640 divisible by 20?
  32. 32.Is 58597 divisible by 11?
  33. 33.Is 11320 divisible by 13?
  34. 34.Is 31638 divisible by 6?
  35. 35.Is 54723 divisible by 15?
  36. 36.Is 20402 divisible by 5?
  37. 37.Is 13115 divisible by 5?
  38. 38.Is 3604 divisible by 2?
  39. 39.Is 19092 divisible by 6?
  40. 40.Is 510 divisible by 6?

Answer key

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

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