← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 643 · 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 81618 divisible by 12?
  2. 2.Is 12950 divisible by 6?
  3. 3.Is 21940 divisible by 10?
  4. 4.Is 11174 divisible by 2?
  5. 5.Is 8517 divisible by 18?
  6. 6.Is 93450 divisible by 15?
  7. 7.Is 88956 divisible by 18?
  8. 8.Is 26247 divisible by 13?
  9. 9.Is 63864 divisible by 11?
  10. 10.Is 27235 divisible by 13?
  11. 11.Is 21499 divisible by 4?
  12. 12.Is 30745 divisible by 13?
  13. 13.Is 54130 divisible by 10?
  14. 14.Is 19437 divisible by 11?
  15. 15.Is 29837 divisible by 17?
  16. 16.Is 23512 divisible by 6?
  17. 17.Is 23300 divisible by 5?
  18. 18.Is 31320 divisible by 29?
  19. 19.Is 27884 divisible by 18?
  20. 20.Is 116052 divisible by 19?
  21. 21.Is 2961 divisible by 3?
  22. 22.Is 43140 divisible by 20?
  23. 23.Is 45298 divisible by 11?
  24. 24.Is 9263 divisible by 2?
  25. 25.Is 37192 divisible by 8?
  26. 26.Is 70716 divisible by 29?
  27. 27.Is 80352 divisible by 18?
  28. 28.Is 5234 divisible by 2?
  29. 29.Is 12420 divisible by 4?
  30. 30.Is 5594 divisible by 7?
  31. 31.Is 77260 divisible by 20?
  32. 32.Is 37748 divisible by 29?
  33. 33.Is 12264 divisible by 4?
  34. 34.Is 18687 divisible by 4?
  35. 35.Is 2594 divisible by 15?
  36. 36.Is 4876 divisible by 23?
  37. 37.Is 29820 divisible by 7?
  38. 38.Is 33396 divisible by 11?
  39. 39.Is 11066 divisible by 13?
  40. 40.Is 104060 divisible by 30?

Answer key

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

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