← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 92 · 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 16246 divisible by 3?
  2. 2.Is 91562 divisible by 17?
  3. 3.Is 78598 divisible by 13?
  4. 4.Is 16135 divisible by 7?
  5. 5.Is 84240 divisible by 15?
  6. 6.Is 49531 divisible by 11?
  7. 7.Is 2380 divisible by 3?
  8. 8.Is 6446 divisible by 3?
  9. 9.Is 35910 divisible by 7?
  10. 10.Is 41767 divisible by 24?
  11. 11.Is 4409 divisible by 6?
  12. 12.Is 10816 divisible by 8?
  13. 13.Is 48209 divisible by 8?
  14. 14.Is 17768 divisible by 8?
  15. 15.Is 30360 divisible by 10?
  16. 16.Is 6356 divisible by 9?
  17. 17.Is 19800 divisible by 10?
  18. 18.Is 14979 divisible by 5?
  19. 19.Is 16047 divisible by 3?
  20. 20.Is 30537 divisible by 9?
  21. 21.Is 26420 divisible by 4?
  22. 22.Is 71617 divisible by 13?
  23. 23.Is 13806 divisible by 6?
  24. 24.Is 20301 divisible by 3?
  25. 25.Is 197211 divisible by 29?
  26. 26.Is 15817 divisible by 8?
  27. 27.Is 770 divisible by 4?
  28. 28.Is 113820 divisible by 20?
  29. 29.Is 10892 divisible by 6?
  30. 30.Is 11656 divisible by 3?
  31. 31.Is 56001 divisible by 13?
  32. 32.Is 115553 divisible by 17?
  33. 33.Is 13717 divisible by 18?
  34. 34.Is 55277 divisible by 15?
  35. 35.Is 5561 divisible by 4?
  36. 36.Is 48219 divisible by 29?
  37. 37.Is 44815 divisible by 11?
  38. 38.Is 41174 divisible by 7?
  39. 39.Is 984 divisible by 4?
  40. 40.Is 26983 divisible by 7?

Answer key

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

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