← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 508 · 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 78662 divisible by 18?
  2. 2.Is 89352 divisible by 13?
  3. 3.Is 58916 divisible by 11?
  4. 4.Is 26616 divisible by 24?
  5. 5.Is 7485 divisible by 7?
  6. 6.Is 33974 divisible by 8?
  7. 7.Is 2859 divisible by 2?
  8. 8.Is 4127 divisible by 9?
  9. 9.Is 8763 divisible by 10?
  10. 10.Is 12036 divisible by 4?
  11. 11.Is 5304 divisible by 8?
  12. 12.Is 3519 divisible by 3?
  13. 13.Is 124108 divisible by 19?
  14. 14.Is 828 divisible by 4?
  15. 15.Is 156837 divisible by 29?
  16. 16.Is 13013 divisible by 13?
  17. 17.Is 21266 divisible by 11?
  18. 18.Is 4689 divisible by 4?
  19. 19.Is 33872 divisible by 8?
  20. 20.Is 1276 divisible by 3?
  21. 21.Is 48490 divisible by 10?
  22. 22.Is 68122 divisible by 10?
  23. 23.Is 25348 divisible by 20?
  24. 24.Is 28304 divisible by 7?
  25. 25.Is 12650 divisible by 5?
  26. 26.Is 23553 divisible by 11?
  27. 27.Is 107528 divisible by 19?
  28. 28.Is 9147 divisible by 4?
  29. 29.Is 7573 divisible by 23?
  30. 30.Is 8947 divisible by 4?
  31. 31.Is 57943 divisible by 10?
  32. 32.Is 2751 divisible by 3?
  33. 33.Is 24006 divisible by 18?
  34. 34.Is 10846 divisible by 29?
  35. 35.Is 22144 divisible by 4?
  36. 36.Is 17174 divisible by 3?
  37. 37.Is 17330 divisible by 3?
  38. 38.Is 149100 divisible by 30?
  39. 39.Is 4686 divisible by 3?
  40. 40.Is 3450 divisible by 6?

Answer key

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

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