← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 486 · 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 70037 divisible by 11?
  2. 2.Is 93960 divisible by 29?
  3. 3.Is 12564 divisible by 9?
  4. 4.Is 523 divisible by 3?
  5. 5.Is 102816 divisible by 18?
  6. 6.Is 2579 divisible by 2?
  7. 7.Is 12529 divisible by 11?
  8. 8.Is 3780 divisible by 4?
  9. 9.Is 1945 divisible by 2?
  10. 10.Is 122300 divisible by 23?
  11. 11.Is 43066 divisible by 11?
  12. 12.Is 36060 divisible by 6?
  13. 13.Is 84686 divisible by 23?
  14. 14.Is 19335 divisible by 4?
  15. 15.Is 143731 divisible by 24?
  16. 16.Is 18579 divisible by 5?
  17. 17.Is 129788 divisible by 24?
  18. 18.Is 4932 divisible by 6?
  19. 19.Is 133839 divisible by 20?
  20. 20.Is 116160 divisible by 24?
  21. 21.Is 10273 divisible by 2?
  22. 22.Is 13665 divisible by 2?
  23. 23.Is 40964 divisible by 11?
  24. 24.Is 44667 divisible by 7?
  25. 25.Is 3049 divisible by 2?
  26. 26.Is 207933 divisible by 30?
  27. 27.Is 4666 divisible by 15?
  28. 28.Is 99886 divisible by 18?
  29. 29.Is 103723 divisible by 18?
  30. 30.Is 59598 divisible by 11?
  31. 31.Is 134021 divisible by 30?
  32. 32.Is 24497 divisible by 15?
  33. 33.Is 7938 divisible by 3?
  34. 34.Is 33859 divisible by 7?
  35. 35.Is 19644 divisible by 12?
  36. 36.Is 25067 divisible by 7?
  37. 37.Is 3218 divisible by 2?
  38. 38.Is 158472 divisible by 30?
  39. 39.Is 69504 divisible by 24?
  40. 40.Is 74566 divisible by 15?

Answer key

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

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