← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 636 · 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 17502 divisible by 10?
  2. 2.Is 91528 divisible by 17?
  3. 3.Is 94035 divisible by 29?
  4. 4.Is 35539 divisible by 7?
  5. 5.Is 33512 divisible by 5?
  6. 6.Is 118123 divisible by 19?
  7. 7.Is 4970 divisible by 3?
  8. 8.Is 66586 divisible by 15?
  9. 9.Is 25938 divisible by 8?
  10. 10.Is 21432 divisible by 4?
  11. 11.Is 4716 divisible by 4?
  12. 12.Is 18533 divisible by 11?
  13. 13.Is 17806 divisible by 29?
  14. 14.Is 10986 divisible by 3?
  15. 15.Is 20335 divisible by 3?
  16. 16.Is 93000 divisible by 15?
  17. 17.Is 1155 divisible by 8?
  18. 18.Is 14480 divisible by 4?
  19. 19.Is 18859 divisible by 6?
  20. 20.Is 20815 divisible by 5?
  21. 21.Is 25175 divisible by 13?
  22. 22.Is 20846 divisible by 12?
  23. 23.Is 38690 divisible by 24?
  24. 24.Is 56840 divisible by 29?
  25. 25.Is 13040 divisible by 2?
  26. 26.Is 130985 divisible by 23?
  27. 27.Is 56070 divisible by 15?
  28. 28.Is 20642 divisible by 5?
  29. 29.Is 20753 divisible by 4?
  30. 30.Is 111796 divisible by 19?
  31. 31.Is 68576 divisible by 24?
  32. 32.Is 53360 divisible by 23?
  33. 33.Is 13179 divisible by 3?
  34. 34.Is 3130 divisible by 6?
  35. 35.Is 7728 divisible by 3?
  36. 36.Is 10145 divisible by 4?
  37. 37.Is 10824 divisible by 2?
  38. 38.Is 201720 divisible by 30?
  39. 39.Is 24457 divisible by 8?
  40. 40.Is 35880 divisible by 13?

Answer key

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

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