← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 616 · 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 13510 divisible by 2?
  2. 2.Is 17361 divisible by 6?
  3. 3.Is 85590 divisible by 18?
  4. 4.Is 7472 divisible by 4?
  5. 5.Is 17779 divisible by 13?
  6. 6.Is 7736 divisible by 9?
  7. 7.Is 38722 divisible by 19?
  8. 8.Is 34558 divisible by 6?
  9. 9.Is 67104 divisible by 24?
  10. 10.Is 33207 divisible by 10?
  11. 11.Is 5219 divisible by 3?
  12. 12.Is 14382 divisible by 3?
  13. 13.Is 6901 divisible by 29?
  14. 14.Is 58139 divisible by 23?
  15. 15.Is 20464 divisible by 4?
  16. 16.Is 4098 divisible by 4?
  17. 17.Is 46674 divisible by 9?
  18. 18.Is 52539 divisible by 13?
  19. 19.Is 119155 divisible by 24?
  20. 20.Is 25620 divisible by 17?
  21. 21.Is 15000 divisible by 19?
  22. 22.Is 13348 divisible by 3?
  23. 23.Is 28023 divisible by 9?
  24. 24.Is 21508 divisible by 19?
  25. 25.Is 26827 divisible by 4?
  26. 26.Is 43927 divisible by 18?
  27. 27.Is 23969 divisible by 11?
  28. 28.Is 74480 divisible by 12?
  29. 29.Is 79104 divisible by 12?
  30. 30.Is 33362 divisible by 7?
  31. 31.Is 1825 divisible by 15?
  32. 32.Is 14579 divisible by 9?
  33. 33.Is 115866 divisible by 20?
  34. 34.Is 28727 divisible by 6?
  35. 35.Is 47070 divisible by 29?
  36. 36.Is 104958 divisible by 24?
  37. 37.Is 172823 divisible by 29?
  38. 38.Is 7062 divisible by 2?
  39. 39.Is 18716 divisible by 5?
  40. 40.Is 22815 divisible by 9?

Answer key

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

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