← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 644 · 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 44196 divisible by 9?
  2. 2.Is 29623 divisible by 11?
  3. 3.Is 23508 divisible by 4?
  4. 4.Is 142 divisible by 9?
  5. 5.Is 27529 divisible by 7?
  6. 6.Is 17750 divisible by 10?
  7. 7.Is 4694 divisible by 2?
  8. 8.Is 11030 divisible by 2?
  9. 9.Is 65820 divisible by 10?
  10. 10.Is 119292 divisible by 18?
  11. 11.Is 190896 divisible by 30?
  12. 12.Is 1728 divisible by 8?
  13. 13.Is 27730 divisible by 10?
  14. 14.Is 200100 divisible by 30?
  15. 15.Is 72255 divisible by 18?
  16. 16.Is 2016 divisible by 8?
  17. 17.Is 28985 divisible by 17?
  18. 18.Is 40961 divisible by 15?
  19. 19.Is 40597 divisible by 6?
  20. 20.Is 122398 divisible by 19?
  21. 21.Is 2664 divisible by 3?
  22. 22.Is 58098 divisible by 9?
  23. 23.Is 85755 divisible by 15?
  24. 24.Is 7860 divisible by 6?
  25. 25.Is 17698 divisible by 4?
  26. 26.Is 1137 divisible by 3?
  27. 27.Is 48401 divisible by 17?
  28. 28.Is 9353 divisible by 7?
  29. 29.Is 3526 divisible by 2?
  30. 30.Is 46521 divisible by 9?
  31. 31.Is 15072 divisible by 4?
  32. 32.Is 57680 divisible by 10?
  33. 33.Is 11743 divisible by 3?
  34. 34.Is 13429 divisible by 2?
  35. 35.Is 37898 divisible by 10?
  36. 36.Is 9789 divisible by 5?
  37. 37.Is 71005 divisible by 17?
  38. 38.Is 135631 divisible by 23?
  39. 39.Is 34400 divisible by 20?
  40. 40.Is 15529 divisible by 12?

Answer key

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

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