← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 790 · 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 71349 divisible by 17?
  2. 2.Is 35703 divisible by 7?
  3. 3.Is 51400 divisible by 18?
  4. 4.Is 16542 divisible by 6?
  5. 5.Is 19650 divisible by 10?
  6. 6.Is 5751 divisible by 13?
  7. 7.Is 52720 divisible by 10?
  8. 8.Is 4790 divisible by 5?
  9. 9.Is 15335 divisible by 5?
  10. 10.Is 90943 divisible by 18?
  11. 11.Is 107879 divisible by 20?
  12. 12.Is 3070 divisible by 3?
  13. 13.Is 66493 divisible by 13?
  14. 14.Is 21317 divisible by 4?
  15. 15.Is 4907 divisible by 7?
  16. 16.Is 18501 divisible by 11?
  17. 17.Is 8406 divisible by 5?
  18. 18.Is 136459 divisible by 23?
  19. 19.Is 83024 divisible by 13?
  20. 20.Is 27622 divisible by 7?
  21. 21.Is 2361 divisible by 7?
  22. 22.Is 6242 divisible by 3?
  23. 23.Is 103296 divisible by 19?
  24. 24.Is 50626 divisible by 10?
  25. 25.Is 60320 divisible by 20?
  26. 26.Is 115133 divisible by 17?
  27. 27.Is 4030 divisible by 5?
  28. 28.Is 11185 divisible by 30?
  29. 29.Is 25828 divisible by 4?
  30. 30.Is 23244 divisible by 12?
  31. 31.Is 135723 divisible by 23?
  32. 32.Is 8428 divisible by 10?
  33. 33.Is 46467 divisible by 13?
  34. 34.Is 48638 divisible by 10?
  35. 35.Is 6543 divisible by 2?
  36. 36.Is 4829 divisible by 3?
  37. 37.Is 39494 divisible by 13?
  38. 38.Is 24636 divisible by 12?
  39. 39.Is 21594 divisible by 9?
  40. 40.Is 96229 divisible by 29?

Answer key

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

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