← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 447 · 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 58921 divisible by 19?
  2. 2.Is 44540 divisible by 7?
  3. 3.Is 8311 divisible by 10?
  4. 4.Is 28503 divisible by 11?
  5. 5.Is 22472 divisible by 4?
  6. 6.Is 8796 divisible by 5?
  7. 7.Is 32012 divisible by 15?
  8. 8.Is 29116 divisible by 7?
  9. 9.Is 21732 divisible by 6?
  10. 10.Is 23575 divisible by 5?
  11. 11.Is 82966 divisible by 13?
  12. 12.Is 1326 divisible by 5?
  13. 13.Is 26740 divisible by 7?
  14. 14.Is 75645 divisible by 15?
  15. 15.Is 13361 divisible by 9?
  16. 16.Is 1008 divisible by 6?
  17. 17.Is 59891 divisible by 13?
  18. 18.Is 23911 divisible by 18?
  19. 19.Is 24596 divisible by 4?
  20. 20.Is 42919 divisible by 8?
  21. 21.Is 6087 divisible by 2?
  22. 22.Is 34784 divisible by 6?
  23. 23.Is 7064 divisible by 11?
  24. 24.Is 152801 divisible by 29?
  25. 25.Is 64320 divisible by 30?
  26. 26.Is 4618 divisible by 7?
  27. 27.Is 55267 divisible by 11?
  28. 28.Is 100854 divisible by 18?
  29. 29.Is 16755 divisible by 5?
  30. 30.Is 54834 divisible by 19?
  31. 31.Is 147430 divisible by 23?
  32. 32.Is 120189 divisible by 20?
  33. 33.Is 1760 divisible by 5?
  34. 34.Is 29798 divisible by 18?
  35. 35.Is 1587 divisible by 2?
  36. 36.Is 102691 divisible by 15?
  37. 37.Is 4501 divisible by 7?
  38. 38.Is 16536 divisible by 6?
  39. 39.Is 202200 divisible by 30?
  40. 40.Is 34534 divisible by 5?

Answer key

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

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