← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 445 · 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 61013 divisible by 24?
  2. 2.Is 6200 divisible by 20?
  3. 3.Is 17745 divisible by 5?
  4. 4.Is 17048 divisible by 4?
  5. 5.Is 81809 divisible by 13?
  6. 6.Is 117126 divisible by 19?
  7. 7.Is 116076 divisible by 29?
  8. 8.Is 68141 divisible by 24?
  9. 9.Is 141358 divisible by 23?
  10. 10.Is 8145 divisible by 7?
  11. 11.Is 25014 divisible by 11?
  12. 12.Is 14656 divisible by 11?
  13. 13.Is 54112 divisible by 19?
  14. 14.Is 108860 divisible by 20?
  15. 15.Is 99024 divisible by 23?
  16. 16.Is 9923 divisible by 2?
  17. 17.Is 40344 divisible by 6?
  18. 18.Is 13597 divisible by 4?
  19. 19.Is 66572 divisible by 17?
  20. 20.Is 861 divisible by 2?
  21. 21.Is 31182 divisible by 6?
  22. 22.Is 44096 divisible by 13?
  23. 23.Is 11552 divisible by 8?
  24. 24.Is 13656 divisible by 6?
  25. 25.Is 12344 divisible by 8?
  26. 26.Is 112385 divisible by 18?
  27. 27.Is 79625 divisible by 13?
  28. 28.Is 53381 divisible by 19?
  29. 29.Is 75749 divisible by 12?
  30. 30.Is 61806 divisible by 30?
  31. 31.Is 24996 divisible by 5?
  32. 32.Is 7723 divisible by 5?
  33. 33.Is 27347 divisible by 23?
  34. 34.Is 9020 divisible by 5?
  35. 35.Is 3509 divisible by 18?
  36. 36.Is 56077 divisible by 12?
  37. 37.Is 64464 divisible by 29?
  38. 38.Is 6792 divisible by 6?
  39. 39.Is 25517 divisible by 20?
  40. 40.Is 72360 divisible by 12?

Answer key

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

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