← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 352 · 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 51728 divisible by 20?
  2. 2.Is 3535 divisible by 5?
  3. 3.Is 43358 divisible by 7?
  4. 4.Is 84539 divisible by 13?
  5. 5.Is 40806 divisible by 10?
  6. 6.Is 9918 divisible by 6?
  7. 7.Is 54378 divisible by 19?
  8. 8.Is 5741 divisible by 24?
  9. 9.Is 5162 divisible by 2?
  10. 10.Is 22976 divisible by 5?
  11. 11.Is 10598 divisible by 7?
  12. 12.Is 1190 divisible by 5?
  13. 13.Is 7279 divisible by 4?
  14. 14.Is 30300 divisible by 8?
  15. 15.Is 58996 divisible by 9?
  16. 16.Is 55867 divisible by 23?
  17. 17.Is 8595 divisible by 9?
  18. 18.Is 9558 divisible by 6?
  19. 19.Is 40640 divisible by 24?
  20. 20.Is 19691 divisible by 6?
  21. 21.Is 35272 divisible by 6?
  22. 22.Is 62823 divisible by 10?
  23. 23.Is 25138 divisible by 23?
  24. 24.Is 11605 divisible by 2?
  25. 25.Is 62730 divisible by 30?
  26. 26.Is 97180 divisible by 20?
  27. 27.Is 85284 divisible by 23?
  28. 28.Is 3030 divisible by 15?
  29. 29.Is 5793 divisible by 5?
  30. 30.Is 98838 divisible by 18?
  31. 31.Is 23687 divisible by 4?
  32. 32.Is 2951 divisible by 4?
  33. 33.Is 20254 divisible by 13?
  34. 34.Is 9304 divisible by 8?
  35. 35.Is 74095 divisible by 12?
  36. 36.Is 63379 divisible by 11?
  37. 37.Is 7457 divisible by 4?
  38. 38.Is 26385 divisible by 30?
  39. 39.Is 11510 divisible by 3?
  40. 40.Is 81903 divisible by 23?

Answer key

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

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