← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 656 · 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 66040 divisible by 10?
  2. 2.Is 61233 divisible by 10?
  3. 3.Is 62111 divisible by 24?
  4. 4.Is 28638 divisible by 6?
  5. 5.Is 4051 divisible by 5?
  6. 6.Is 19524 divisible by 10?
  7. 7.Is 4688 divisible by 23?
  8. 8.Is 5153 divisible by 2?
  9. 9.Is 7851 divisible by 6?
  10. 10.Is 100620 divisible by 18?
  11. 11.Is 29278 divisible by 7?
  12. 12.Is 17313 divisible by 29?
  13. 13.Is 107178 divisible by 20?
  14. 14.Is 7285 divisible by 8?
  15. 15.Is 46907 divisible by 15?
  16. 16.Is 122147 divisible by 29?
  17. 17.Is 30330 divisible by 15?
  18. 18.Is 209073 divisible by 30?
  19. 19.Is 23769 divisible by 6?
  20. 20.Is 8337 divisible by 2?
  21. 21.Is 8822 divisible by 11?
  22. 22.Is 37340 divisible by 20?
  23. 23.Is 86370 divisible by 30?
  24. 24.Is 77258 divisible by 29?
  25. 25.Is 36273 divisible by 7?
  26. 26.Is 8880 divisible by 3?
  27. 27.Is 2800 divisible by 15?
  28. 28.Is 3023 divisible by 2?
  29. 29.Is 16088 divisible by 8?
  30. 30.Is 1108 divisible by 5?
  31. 31.Is 1980 divisible by 8?
  32. 32.Is 13691 divisible by 5?
  33. 33.Is 33836 divisible by 11?
  34. 34.Is 4379 divisible by 30?
  35. 35.Is 68959 divisible by 13?
  36. 36.Is 114047 divisible by 23?
  37. 37.Is 74763 divisible by 13?
  38. 38.Is 47388 divisible by 8?
  39. 39.Is 12369 divisible by 19?
  40. 40.Is 110579 divisible by 19?

Answer key

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

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