← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 482 · 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 40356 divisible by 18?
  2. 2.Is 23011 divisible by 15?
  3. 3.Is 1737 divisible by 2?
  4. 4.Is 30591 divisible by 5?
  5. 5.Is 77224 divisible by 17?
  6. 6.Is 5853 divisible by 3?
  7. 7.Is 21306 divisible by 11?
  8. 8.Is 227 divisible by 5?
  9. 9.Is 4151 divisible by 3?
  10. 10.Is 12821 divisible by 6?
  11. 11.Is 16866 divisible by 3?
  12. 12.Is 46745 divisible by 8?
  13. 13.Is 44183 divisible by 23?
  14. 14.Is 126648 divisible by 24?
  15. 15.Is 92544 divisible by 24?
  16. 16.Is 1469 divisible by 3?
  17. 17.Is 15594 divisible by 7?
  18. 18.Is 2144 divisible by 4?
  19. 19.Is 6199 divisible by 7?
  20. 20.Is 16340 divisible by 5?
  21. 21.Is 8698 divisible by 5?
  22. 22.Is 26370 divisible by 5?
  23. 23.Is 111682 divisible by 23?
  24. 24.Is 765 divisible by 17?
  25. 25.Is 18116 divisible by 12?
  26. 26.Is 18591 divisible by 7?
  27. 27.Is 11228 divisible by 2?
  28. 28.Is 71772 divisible by 12?
  29. 29.Is 38985 divisible by 10?
  30. 30.Is 63409 divisible by 17?
  31. 31.Is 36598 divisible by 29?
  32. 32.Is 1978 divisible by 2?
  33. 33.Is 28272 divisible by 19?
  34. 34.Is 22119 divisible by 15?
  35. 35.Is 17612 divisible by 5?
  36. 36.Is 7144 divisible by 2?
  37. 37.Is 20040 divisible by 24?
  38. 38.Is 89199 divisible by 17?
  39. 39.Is 10280 divisible by 20?
  40. 40.Is 63440 divisible by 20?

Answer key

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

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