← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 483 · 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 9229 divisible by 11?
  2. 2.Is 92883 divisible by 18?
  3. 3.Is 10111 divisible by 2?
  4. 4.Is 109040 divisible by 29?
  5. 5.Is 115330 divisible by 19?
  6. 6.Is 33867 divisible by 5?
  7. 7.Is 5123 divisible by 2?
  8. 8.Is 36090 divisible by 9?
  9. 9.Is 11239 divisible by 7?
  10. 10.Is 79629 divisible by 19?
  11. 11.Is 15770 divisible by 19?
  12. 12.Is 29672 divisible by 5?
  13. 13.Is 30849 divisible by 10?
  14. 14.Is 109680 divisible by 30?
  15. 15.Is 113959 divisible by 20?
  16. 16.Is 10633 divisible by 2?
  17. 17.Is 192734 divisible by 29?
  18. 18.Is 38376 divisible by 7?
  19. 19.Is 31257 divisible by 9?
  20. 20.Is 84640 divisible by 23?
  21. 21.Is 26266 divisible by 29?
  22. 22.Is 10524 divisible by 13?
  23. 23.Is 61893 divisible by 13?
  24. 24.Is 38870 divisible by 8?
  25. 25.Is 7533 divisible by 6?
  26. 26.Is 33900 divisible by 5?
  27. 27.Is 1652 divisible by 12?
  28. 28.Is 46692 divisible by 12?
  29. 29.Is 1677 divisible by 3?
  30. 30.Is 28114 divisible by 9?
  31. 31.Is 7162 divisible by 7?
  32. 32.Is 179365 divisible by 29?
  33. 33.Is 32450 divisible by 11?
  34. 34.Is 24570 divisible by 6?
  35. 35.Is 157573 divisible by 23?
  36. 36.Is 37149 divisible by 6?
  37. 37.Is 35497 divisible by 24?
  38. 38.Is 38730 divisible by 15?
  39. 39.Is 240 divisible by 7?
  40. 40.Is 129470 divisible by 19?

Answer key

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

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