← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 710 · 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 34110 divisible by 6?
  2. 2.Is 100718 divisible by 29?
  3. 3.Is 3667 divisible by 3?
  4. 4.Is 10868 divisible by 19?
  5. 5.Is 4470 divisible by 2?
  6. 6.Is 27694 divisible by 9?
  7. 7.Is 64515 divisible by 10?
  8. 8.Is 35106 divisible by 10?
  9. 9.Is 35388 divisible by 18?
  10. 10.Is 75899 divisible by 19?
  11. 11.Is 38421 divisible by 6?
  12. 12.Is 2784 divisible by 4?
  13. 13.Is 4944 divisible by 12?
  14. 14.Is 3515 divisible by 6?
  15. 15.Is 42113 divisible by 23?
  16. 16.Is 5944 divisible by 15?
  17. 17.Is 81838 divisible by 17?
  18. 18.Is 16203 divisible by 11?
  19. 19.Is 14049 divisible by 5?
  20. 20.Is 33369 divisible by 7?
  21. 21.Is 1140 divisible by 4?
  22. 22.Is 5329 divisible by 4?
  23. 23.Is 84234 divisible by 29?
  24. 24.Is 24550 divisible by 6?
  25. 25.Is 11358 divisible by 6?
  26. 26.Is 63162 divisible by 11?
  27. 27.Is 28944 divisible by 12?
  28. 28.Is 993 divisible by 3?
  29. 29.Is 2109 divisible by 10?
  30. 30.Is 10596 divisible by 12?
  31. 31.Is 8004 divisible by 6?
  32. 32.Is 39585 divisible by 29?
  33. 33.Is 125514 divisible by 18?
  34. 34.Is 58574 divisible by 12?
  35. 35.Is 27339 divisible by 13?
  36. 36.Is 28853 divisible by 10?
  37. 37.Is 59972 divisible by 15?
  38. 38.Is 193410 divisible by 30?
  39. 39.Is 27384 divisible by 7?
  40. 40.Is 34634 divisible by 5?

Answer key

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

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