← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 693 · 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 20088 divisible by 3?
  2. 2.Is 50065 divisible by 19?
  3. 3.Is 2567 divisible by 4?
  4. 4.Is 42624 divisible by 24?
  5. 5.Is 37778 divisible by 6?
  6. 6.Is 64953 divisible by 18?
  7. 7.Is 23004 divisible by 4?
  8. 8.Is 35118 divisible by 7?
  9. 9.Is 20713 divisible by 12?
  10. 10.Is 20528 divisible by 6?
  11. 11.Is 11775 divisible by 7?
  12. 12.Is 8875 divisible by 5?
  13. 13.Is 47625 divisible by 20?
  14. 14.Is 53940 divisible by 10?
  15. 15.Is 5374 divisible by 5?
  16. 16.Is 38472 divisible by 8?
  17. 17.Is 73082 divisible by 23?
  18. 18.Is 23539 divisible by 20?
  19. 19.Is 10967 divisible by 2?
  20. 20.Is 13390 divisible by 5?
  21. 21.Is 22782 divisible by 6?
  22. 22.Is 53370 divisible by 10?
  23. 23.Is 21996 divisible by 6?
  24. 24.Is 118786 divisible by 19?
  25. 25.Is 52173 divisible by 11?
  26. 26.Is 3719 divisible by 10?
  27. 27.Is 42180 divisible by 20?
  28. 28.Is 106575 divisible by 18?
  29. 29.Is 20967 divisible by 5?
  30. 30.Is 9312 divisible by 6?
  31. 31.Is 60937 divisible by 9?
  32. 32.Is 11179 divisible by 7?
  33. 33.Is 162985 divisible by 30?
  34. 34.Is 28278 divisible by 9?
  35. 35.Is 115746 divisible by 29?
  36. 36.Is 27186 divisible by 6?
  37. 37.Is 20424 divisible by 24?
  38. 38.Is 39852 divisible by 18?
  39. 39.Is 17989 divisible by 4?
  40. 40.Is 178050 divisible by 30?

Answer key

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

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