← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 145 · 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 73104 divisible by 12?
  2. 2.Is 66424 divisible by 23?
  3. 3.Is 147908 divisible by 29?
  4. 4.Is 38284 divisible by 12?
  5. 5.Is 77675 divisible by 23?
  6. 6.Is 40014 divisible by 18?
  7. 7.Is 1720 divisible by 5?
  8. 8.Is 13796 divisible by 8?
  9. 9.Is 31884 divisible by 6?
  10. 10.Is 20723 divisible by 23?
  11. 11.Is 161095 divisible by 29?
  12. 12.Is 91512 divisible by 24?
  13. 13.Is 65521 divisible by 18?
  14. 14.Is 13111 divisible by 7?
  15. 15.Is 17305 divisible by 3?
  16. 16.Is 3594 divisible by 3?
  17. 17.Is 40592 divisible by 7?
  18. 18.Is 14176 divisible by 8?
  19. 19.Is 31905 divisible by 15?
  20. 20.Is 29080 divisible by 10?
  21. 21.Is 103080 divisible by 24?
  22. 22.Is 21474 divisible by 9?
  23. 23.Is 135053 divisible by 30?
  24. 24.Is 22949 divisible by 5?
  25. 25.Is 1497 divisible by 3?
  26. 26.Is 5989 divisible by 5?
  27. 27.Is 18224 divisible by 4?
  28. 28.Is 14604 divisible by 9?
  29. 29.Is 178830 divisible by 30?
  30. 30.Is 6024 divisible by 6?
  31. 31.Is 43540 divisible by 7?
  32. 32.Is 94658 divisible by 19?
  33. 33.Is 8437 divisible by 13?
  34. 34.Is 26778 divisible by 17?
  35. 35.Is 40581 divisible by 9?
  36. 36.Is 8313 divisible by 15?
  37. 37.Is 53523 divisible by 19?
  38. 38.Is 9485 divisible by 11?
  39. 39.Is 24123 divisible by 6?
  40. 40.Is 13490 divisible by 5?

Answer key

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

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