← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 375 · 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 25946 divisible by 18?
  2. 2.Is 25720 divisible by 20?
  3. 3.Is 5765 divisible by 8?
  4. 4.Is 18450 divisible by 3?
  5. 5.Is 2139 divisible by 4?
  6. 6.Is 36009 divisible by 9?
  7. 7.Is 35499 divisible by 7?
  8. 8.Is 16407 divisible by 5?
  9. 9.Is 11492 divisible by 2?
  10. 10.Is 13069 divisible by 7?
  11. 11.Is 9706 divisible by 23?
  12. 12.Is 104080 divisible by 20?
  13. 13.Is 9703 divisible by 17?
  14. 14.Is 39037 divisible by 20?
  15. 15.Is 10672 divisible by 13?
  16. 16.Is 2422 divisible by 7?
  17. 17.Is 4809 divisible by 5?
  18. 18.Is 115416 divisible by 18?
  19. 19.Is 35196 divisible by 12?
  20. 20.Is 5464 divisible by 7?
  21. 21.Is 3910 divisible by 3?
  22. 22.Is 470 divisible by 10?
  23. 23.Is 8476 divisible by 13?
  24. 24.Is 144611 divisible by 23?
  25. 25.Is 60434 divisible by 10?
  26. 26.Is 59944 divisible by 11?
  27. 27.Is 67130 divisible by 10?
  28. 28.Is 109411 divisible by 23?
  29. 29.Is 2121 divisible by 2?
  30. 30.Is 132280 divisible by 20?
  31. 31.Is 24165 divisible by 7?
  32. 32.Is 1360 divisible by 15?
  33. 33.Is 162462 divisible by 24?
  34. 34.Is 44198 divisible by 7?
  35. 35.Is 56372 divisible by 17?
  36. 36.Is 8501 divisible by 11?
  37. 37.Is 84779 divisible by 17?
  38. 38.Is 2367 divisible by 9?
  39. 39.Is 31869 divisible by 9?
  40. 40.Is 134664 divisible by 30?

Answer key

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

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