← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 966 · 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 37116 divisible by 12?
  2. 2.Is 66217 divisible by 23?
  3. 3.Is 55834 divisible by 19?
  4. 4.Is 60708 divisible by 15?
  5. 5.Is 107752 divisible by 17?
  6. 6.Is 12835 divisible by 2?
  7. 7.Is 24378 divisible by 9?
  8. 8.Is 55080 divisible by 9?
  9. 9.Is 12519 divisible by 6?
  10. 10.Is 6611 divisible by 2?
  11. 11.Is 67673 divisible by 11?
  12. 12.Is 143870 divisible by 23?
  13. 13.Is 2419 divisible by 6?
  14. 14.Is 1097 divisible by 5?
  15. 15.Is 10181 divisible by 3?
  16. 16.Is 7424 divisible by 15?
  17. 17.Is 5884 divisible by 2?
  18. 18.Is 19574 divisible by 11?
  19. 19.Is 16543 divisible by 10?
  20. 20.Is 5709 divisible by 10?
  21. 21.Is 39401 divisible by 29?
  22. 22.Is 56158 divisible by 12?
  23. 23.Is 171476 divisible by 29?
  24. 24.Is 45000 divisible by 18?
  25. 25.Is 64681 divisible by 19?
  26. 26.Is 43669 divisible by 9?
  27. 27.Is 165120 divisible by 30?
  28. 28.Is 1356 divisible by 12?
  29. 29.Is 75259 divisible by 19?
  30. 30.Is 87408 divisible by 18?
  31. 31.Is 30148 divisible by 5?
  32. 32.Is 14155 divisible by 19?
  33. 33.Is 1659 divisible by 8?
  34. 34.Is 49036 divisible by 23?
  35. 35.Is 117332 divisible by 30?
  36. 36.Is 19964 divisible by 4?
  37. 37.Is 90090 divisible by 15?
  38. 38.Is 8823 divisible by 17?
  39. 39.Is 8398 divisible by 3?
  40. 40.Is 18030 divisible by 6?

Answer key

  1. yes
  2. yes
  3. no
  4. no
  5. no
  6. no
  7. no
  8. yes
  9. no
  10. no
  11. no
  12. no
  13. no
  14. no
  15. no
  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. yes
  29. yes
  30. yes
  31. no
  32. yes
  33. no
  34. yes
  35. no
  36. yes
  37. yes
  38. yes
  39. no
  40. yes

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