← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 71 · 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 11485 divisible by 5?
  2. 2.Is 11753 divisible by 3?
  3. 3.Is 52874 divisible by 18?
  4. 4.Is 63009 divisible by 12?
  5. 5.Is 48120 divisible by 30?
  6. 6.Is 9756 divisible by 9?
  7. 7.Is 83517 divisible by 15?
  8. 8.Is 28753 divisible by 10?
  9. 9.Is 28720 divisible by 20?
  10. 10.Is 62388 divisible by 12?
  11. 11.Is 121720 divisible by 20?
  12. 12.Is 25373 divisible by 5?
  13. 13.Is 17010 divisible by 30?
  14. 14.Is 79127 divisible by 20?
  15. 15.Is 125495 divisible by 19?
  16. 16.Is 9127 divisible by 2?
  17. 17.Is 156343 divisible by 23?
  18. 18.Is 137884 divisible by 20?
  19. 19.Is 7292 divisible by 10?
  20. 20.Is 45750 divisible by 15?
  21. 21.Is 15640 divisible by 20?
  22. 22.Is 50945 divisible by 30?
  23. 23.Is 13107 divisible by 5?
  24. 24.Is 144840 divisible by 30?
  25. 25.Is 40703 divisible by 9?
  26. 26.Is 22678 divisible by 29?
  27. 27.Is 90046 divisible by 30?
  28. 28.Is 3453 divisible by 2?
  29. 29.Is 93217 divisible by 24?
  30. 30.Is 37275 divisible by 7?
  31. 31.Is 19720 divisible by 8?
  32. 32.Is 72600 divisible by 30?
  33. 33.Is 43815 divisible by 15?
  34. 34.Is 99664 divisible by 17?
  35. 35.Is 14791 divisible by 7?
  36. 36.Is 2451 divisible by 4?
  37. 37.Is 29001 divisible by 9?
  38. 38.Is 12324 divisible by 7?
  39. 39.Is 8119 divisible by 2?
  40. 40.Is 17300 divisible by 10?

Answer key

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

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