← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 632 · 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 52686 divisible by 18?
  2. 2.Is 1720 divisible by 5?
  3. 3.Is 38041 divisible by 6?
  4. 4.Is 28149 divisible by 6?
  5. 5.Is 2789 divisible by 9?
  6. 6.Is 69438 divisible by 17?
  7. 7.Is 148085 divisible by 24?
  8. 8.Is 2452 divisible by 8?
  9. 9.Is 54315 divisible by 17?
  10. 10.Is 30446 divisible by 13?
  11. 11.Is 23856 divisible by 6?
  12. 12.Is 13473 divisible by 19?
  13. 13.Is 67876 divisible by 23?
  14. 14.Is 48731 divisible by 10?
  15. 15.Is 64731 divisible by 12?
  16. 16.Is 93542 divisible by 17?
  17. 17.Is 18263 divisible by 4?
  18. 18.Is 10128 divisible by 24?
  19. 19.Is 39432 divisible by 24?
  20. 20.Is 3189 divisible by 3?
  21. 21.Is 41208 divisible by 12?
  22. 22.Is 798 divisible by 19?
  23. 23.Is 156216 divisible by 23?
  24. 24.Is 12402 divisible by 6?
  25. 25.Is 41468 divisible by 7?
  26. 26.Is 68042 divisible by 11?
  27. 27.Is 96508 divisible by 23?
  28. 28.Is 96943 divisible by 15?
  29. 29.Is 31966 divisible by 11?
  30. 30.Is 39144 divisible by 24?
  31. 31.Is 49896 divisible by 12?
  32. 32.Is 13000 divisible by 9?
  33. 33.Is 13753 divisible by 9?
  34. 34.Is 20723 divisible by 23?
  35. 35.Is 31473 divisible by 9?
  36. 36.Is 58614 divisible by 11?
  37. 37.Is 141726 divisible by 23?
  38. 38.Is 9561 divisible by 12?
  39. 39.Is 117520 divisible by 20?
  40. 40.Is 3722 divisible by 7?

Answer key

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

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