← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 268 · 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 15972 divisible by 3?
  2. 2.Is 154140 divisible by 30?
  3. 3.Is 157832 divisible by 30?
  4. 4.Is 45149 divisible by 23?
  5. 5.Is 82314 divisible by 17?
  6. 6.Is 55290 divisible by 30?
  7. 7.Is 50628 divisible by 23?
  8. 8.Is 78069 divisible by 30?
  9. 9.Is 42869 divisible by 11?
  10. 10.Is 42969 divisible by 10?
  11. 11.Is 2836 divisible by 12?
  12. 12.Is 14219 divisible by 4?
  13. 13.Is 8087 divisible by 10?
  14. 14.Is 30889 divisible by 23?
  15. 15.Is 80100 divisible by 15?
  16. 16.Is 95648 divisible by 15?
  17. 17.Is 18517 divisible by 4?
  18. 18.Is 13262 divisible by 3?
  19. 19.Is 22261 divisible by 18?
  20. 20.Is 25487 divisible by 5?
  21. 21.Is 98861 divisible by 20?
  22. 22.Is 23504 divisible by 13?
  23. 23.Is 39679 divisible by 6?
  24. 24.Is 6256 divisible by 3?
  25. 25.Is 8622 divisible by 9?
  26. 26.Is 48502 divisible by 9?
  27. 27.Is 55950 divisible by 30?
  28. 28.Is 11313 divisible by 7?
  29. 29.Is 5554 divisible by 6?
  30. 30.Is 11526 divisible by 3?
  31. 31.Is 110823 divisible by 29?
  32. 32.Is 16913 divisible by 7?
  33. 33.Is 10868 divisible by 19?
  34. 34.Is 39574 divisible by 18?
  35. 35.Is 7521 divisible by 7?
  36. 36.Is 20019 divisible by 5?
  37. 37.Is 1265 divisible by 19?
  38. 38.Is 51237 divisible by 11?
  39. 39.Is 155718 divisible by 29?
  40. 40.Is 1695 divisible by 5?

Answer key

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

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