← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 702 · 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 8944 divisible by 8?
  2. 2.Is 92243 divisible by 17?
  3. 3.Is 9715 divisible by 29?
  4. 4.Is 197282 divisible by 30?
  5. 5.Is 22330 divisible by 5?
  6. 6.Is 9075 divisible by 3?
  7. 7.Is 109008 divisible by 24?
  8. 8.Is 19201 divisible by 13?
  9. 9.Is 8767 divisible by 2?
  10. 10.Is 84535 divisible by 29?
  11. 11.Is 42763 divisible by 7?
  12. 12.Is 38962 divisible by 13?
  13. 13.Is 3135 divisible by 11?
  14. 14.Is 1057 divisible by 3?
  15. 15.Is 17617 divisible by 4?
  16. 16.Is 44981 divisible by 10?
  17. 17.Is 9253 divisible by 6?
  18. 18.Is 44700 divisible by 15?
  19. 19.Is 17702 divisible by 3?
  20. 20.Is 118979 divisible by 23?
  21. 21.Is 18921 divisible by 17?
  22. 22.Is 10998 divisible by 6?
  23. 23.Is 46818 divisible by 8?
  24. 24.Is 9959 divisible by 7?
  25. 25.Is 53010 divisible by 15?
  26. 26.Is 19233 divisible by 3?
  27. 27.Is 7085 divisible by 13?
  28. 28.Is 58284 divisible by 9?
  29. 29.Is 39308 divisible by 9?
  30. 30.Is 126454 divisible by 23?
  31. 31.Is 166 divisible by 2?
  32. 32.Is 87253 divisible by 17?
  33. 33.Is 107366 divisible by 29?
  34. 34.Is 25004 divisible by 7?
  35. 35.Is 85223 divisible by 24?
  36. 36.Is 1793 divisible by 5?
  37. 37.Is 48332 divisible by 12?
  38. 38.Is 4860 divisible by 3?
  39. 39.Is 47781 divisible by 19?
  40. 40.Is 10927 divisible by 7?

Answer key

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