← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 601 · 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 77310 divisible by 30?
  2. 2.Is 115256 divisible by 17?
  3. 3.Is 19890 divisible by 15?
  4. 4.Is 23458 divisible by 15?
  5. 5.Is 1376 divisible by 2?
  6. 6.Is 32190 divisible by 5?
  7. 7.Is 11451 divisible by 12?
  8. 8.Is 105961 divisible by 23?
  9. 9.Is 35542 divisible by 11?
  10. 10.Is 38052 divisible by 7?
  11. 11.Is 11640 divisible by 4?
  12. 12.Is 20655 divisible by 17?
  13. 13.Is 2780 divisible by 10?
  14. 14.Is 160962 divisible by 23?
  15. 15.Is 82355 divisible by 20?
  16. 16.Is 27979 divisible by 5?
  17. 17.Is 12720 divisible by 4?
  18. 18.Is 15150 divisible by 30?
  19. 19.Is 9384 divisible by 23?
  20. 20.Is 1077 divisible by 3?
  21. 21.Is 123105 divisible by 29?
  22. 22.Is 33460 divisible by 5?
  23. 23.Is 10128 divisible by 3?
  24. 24.Is 33537 divisible by 7?
  25. 25.Is 58710 divisible by 10?
  26. 26.Is 22269 divisible by 18?
  27. 27.Is 16146 divisible by 6?
  28. 28.Is 7485 divisible by 8?
  29. 29.Is 20234 divisible by 4?
  30. 30.Is 105213 divisible by 17?
  31. 31.Is 158003 divisible by 30?
  32. 32.Is 40626 divisible by 13?
  33. 33.Is 136109 divisible by 20?
  34. 34.Is 16264 divisible by 20?
  35. 35.Is 26880 divisible by 4?
  36. 36.Is 13332 divisible by 12?
  37. 37.Is 117767 divisible by 20?
  38. 38.Is 60654 divisible by 11?
  39. 39.Is 33235 divisible by 5?
  40. 40.Is 7987 divisible by 17?

Answer key

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

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