← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 332 · 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 59209 divisible by 11?
  2. 2.Is 104816 divisible by 15?
  3. 3.Is 12642 divisible by 7?
  4. 4.Is 47799 divisible by 9?
  5. 5.Is 17490 divisible by 10?
  6. 6.Is 33226 divisible by 10?
  7. 7.Is 63154 divisible by 11?
  8. 8.Is 39575 divisible by 9?
  9. 9.Is 21019 divisible by 7?
  10. 10.Is 71587 divisible by 17?
  11. 11.Is 27520 divisible by 29?
  12. 12.Is 44712 divisible by 12?
  13. 13.Is 70404 divisible by 18?
  14. 14.Is 19725 divisible by 11?
  15. 15.Is 15273 divisible by 9?
  16. 16.Is 15104 divisible by 4?
  17. 17.Is 1538 divisible by 2?
  18. 18.Is 5559 divisible by 2?
  19. 19.Is 3756 divisible by 12?
  20. 20.Is 46188 divisible by 9?
  21. 21.Is 27517 divisible by 4?
  22. 22.Is 57189 divisible by 12?
  23. 23.Is 11858 divisible by 2?
  24. 24.Is 5796 divisible by 3?
  25. 25.Is 5984 divisible by 2?
  26. 26.Is 37060 divisible by 20?
  27. 27.Is 46500 divisible by 12?
  28. 28.Is 77669 divisible by 20?
  29. 29.Is 3640 divisible by 2?
  30. 30.Is 19644 divisible by 4?
  31. 31.Is 160295 divisible by 29?
  32. 32.Is 41058 divisible by 18?
  33. 33.Is 166605 divisible by 29?
  34. 34.Is 2960 divisible by 5?
  35. 35.Is 3540 divisible by 10?
  36. 36.Is 8932 divisible by 7?
  37. 37.Is 5163 divisible by 3?
  38. 38.Is 3894 divisible by 11?
  39. 39.Is 11806 divisible by 6?
  40. 40.Is 84582 divisible by 15?

Answer key

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

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