← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 514 · 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 22282 divisible by 13?
  2. 2.Is 56160 divisible by 30?
  3. 3.Is 2577 divisible by 11?
  4. 4.Is 47814 divisible by 24?
  5. 5.Is 10521 divisible by 7?
  6. 6.Is 58383 divisible by 13?
  7. 7.Is 57364 divisible by 18?
  8. 8.Is 3570 divisible by 17?
  9. 9.Is 121506 divisible by 30?
  10. 10.Is 30428 divisible by 10?
  11. 11.Is 13518 divisible by 9?
  12. 12.Is 57743 divisible by 9?
  13. 13.Is 24689 divisible by 7?
  14. 14.Is 95990 divisible by 15?
  15. 15.Is 64897 divisible by 19?
  16. 16.Is 7212 divisible by 2?
  17. 17.Is 36724 divisible by 6?
  18. 18.Is 33670 divisible by 5?
  19. 19.Is 125367 divisible by 18?
  20. 20.Is 135646 divisible by 20?
  21. 21.Is 32176 divisible by 8?
  22. 22.Is 5106 divisible by 6?
  23. 23.Is 120420 divisible by 18?
  24. 24.Is 12831 divisible by 2?
  25. 25.Is 8708 divisible by 4?
  26. 26.Is 51640 divisible by 18?
  27. 27.Is 65535 divisible by 17?
  28. 28.Is 78416 divisible by 29?
  29. 29.Is 20855 divisible by 5?
  30. 30.Is 35872 divisible by 20?
  31. 31.Is 124775 divisible by 23?
  32. 32.Is 18852 divisible by 12?
  33. 33.Is 27251 divisible by 17?
  34. 34.Is 134183 divisible by 29?
  35. 35.Is 60185 divisible by 19?
  36. 36.Is 9695 divisible by 15?
  37. 37.Is 1237 divisible by 2?
  38. 38.Is 6018 divisible by 17?
  39. 39.Is 201231 divisible by 29?
  40. 40.Is 5333 divisible by 15?

Answer key

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

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