← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 226 · 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 14732 divisible by 23?
  2. 2.Is 5731 divisible by 13?
  3. 3.Is 142410 divisible by 30?
  4. 4.Is 88440 divisible by 30?
  5. 5.Is 5378 divisible by 2?
  6. 6.Is 21689 divisible by 23?
  7. 7.Is 7259 divisible by 3?
  8. 8.Is 48835 divisible by 7?
  9. 9.Is 76095 divisible by 19?
  10. 10.Is 4981 divisible by 19?
  11. 11.Is 18766 divisible by 5?
  12. 12.Is 97331 divisible by 23?
  13. 13.Is 13519 divisible by 6?
  14. 14.Is 118617 divisible by 19?
  15. 15.Is 2219 divisible by 5?
  16. 16.Is 90450 divisible by 15?
  17. 17.Is 13400 divisible by 23?
  18. 18.Is 121684 divisible by 29?
  19. 19.Is 2440 divisible by 8?
  20. 20.Is 29446 divisible by 6?
  21. 21.Is 10078 divisible by 6?
  22. 22.Is 4398 divisible by 3?
  23. 23.Is 11673 divisible by 2?
  24. 24.Is 32150 divisible by 12?
  25. 25.Is 14340 divisible by 5?
  26. 26.Is 100943 divisible by 18?
  27. 27.Is 19184 divisible by 4?
  28. 28.Is 19796 divisible by 7?
  29. 29.Is 21380 divisible by 4?
  30. 30.Is 84502 divisible by 23?
  31. 31.Is 61769 divisible by 19?
  32. 32.Is 6456 divisible by 7?
  33. 33.Is 33554 divisible by 29?
  34. 34.Is 14582 divisible by 3?
  35. 35.Is 32610 divisible by 30?
  36. 36.Is 12900 divisible by 30?
  37. 37.Is 452 divisible by 8?
  38. 38.Is 27214 divisible by 10?
  39. 39.Is 129651 divisible by 23?
  40. 40.Is 20976 divisible by 23?

Answer key

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

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