← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 878 · 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 9135 divisible by 3?
  2. 2.Is 5505 divisible by 7?
  3. 3.Is 19665 divisible by 19?
  4. 4.Is 33704 divisible by 12?
  5. 5.Is 11252 divisible by 19?
  6. 6.Is 27094 divisible by 19?
  7. 7.Is 53563 divisible by 29?
  8. 8.Is 15519 divisible by 15?
  9. 9.Is 139706 divisible by 23?
  10. 10.Is 102640 divisible by 20?
  11. 11.Is 85119 divisible by 18?
  12. 12.Is 22444 divisible by 5?
  13. 13.Is 4307 divisible by 6?
  14. 14.Is 43766 divisible by 7?
  15. 15.Is 37560 divisible by 12?
  16. 16.Is 26339 divisible by 4?
  17. 17.Is 19357 divisible by 3?
  18. 18.Is 112103 divisible by 19?
  19. 19.Is 13469 divisible by 4?
  20. 20.Is 31060 divisible by 5?
  21. 21.Is 19905 divisible by 3?
  22. 22.Is 55976 divisible by 8?
  23. 23.Is 3827 divisible by 3?
  24. 24.Is 15420 divisible by 30?
  25. 25.Is 23277 divisible by 17?
  26. 26.Is 8320 divisible by 4?
  27. 27.Is 12441 divisible by 13?
  28. 28.Is 77941 divisible by 15?
  29. 29.Is 185658 divisible by 29?
  30. 30.Is 162429 divisible by 29?
  31. 31.Is 26015 divisible by 4?
  32. 32.Is 76209 divisible by 15?
  33. 33.Is 10859 divisible by 23?
  34. 34.Is 1495 divisible by 5?
  35. 35.Is 7774 divisible by 23?
  36. 36.Is 120284 divisible by 23?
  37. 37.Is 68020 divisible by 19?
  38. 38.Is 9768 divisible by 24?
  39. 39.Is 13650 divisible by 4?
  40. 40.Is 8450 divisible by 4?

Answer key

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

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