← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 497 · 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 19360 divisible by 6?
  2. 2.Is 115704 divisible by 18?
  3. 3.Is 7392 divisible by 2?
  4. 4.Is 11700 divisible by 30?
  5. 5.Is 186992 divisible by 29?
  6. 6.Is 34578 divisible by 6?
  7. 7.Is 15200 divisible by 6?
  8. 8.Is 7168 divisible by 7?
  9. 9.Is 75528 divisible by 24?
  10. 10.Is 30340 divisible by 5?
  11. 11.Is 2891 divisible by 11?
  12. 12.Is 206021 divisible by 30?
  13. 13.Is 5291 divisible by 2?
  14. 14.Is 24228 divisible by 6?
  15. 15.Is 108549 divisible by 30?
  16. 16.Is 11755 divisible by 3?
  17. 17.Is 79051 divisible by 30?
  18. 18.Is 97880 divisible by 20?
  19. 19.Is 153696 divisible by 24?
  20. 20.Is 28782 divisible by 18?
  21. 21.Is 47598 divisible by 11?
  22. 22.Is 76337 divisible by 17?
  23. 23.Is 18624 divisible by 24?
  24. 24.Is 10070 divisible by 10?
  25. 25.Is 67502 divisible by 10?
  26. 26.Is 84592 divisible by 17?
  27. 27.Is 52922 divisible by 8?
  28. 28.Is 16111 divisible by 3?
  29. 29.Is 45890 divisible by 13?
  30. 30.Is 39538 divisible by 6?
  31. 31.Is 14098 divisible by 7?
  32. 32.Is 31557 divisible by 7?
  33. 33.Is 13489 divisible by 3?
  34. 34.Is 54944 divisible by 8?
  35. 35.Is 69815 divisible by 11?
  36. 36.Is 8195 divisible by 10?
  37. 37.Is 74980 divisible by 24?
  38. 38.Is 113683 divisible by 17?
  39. 39.Is 30443 divisible by 9?
  40. 40.Is 34783 divisible by 12?

Answer key

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

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