← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 351 · 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 79797 divisible by 17?
  2. 2.Is 107251 divisible by 23?
  3. 3.Is 44340 divisible by 30?
  4. 4.Is 51145 divisible by 8?
  5. 5.Is 187592 divisible by 30?
  6. 6.Is 131358 divisible by 23?
  7. 7.Is 12777 divisible by 5?
  8. 8.Is 15246 divisible by 19?
  9. 9.Is 41227 divisible by 10?
  10. 10.Is 8897 divisible by 7?
  11. 11.Is 25560 divisible by 8?
  12. 12.Is 130042 divisible by 23?
  13. 13.Is 9200 divisible by 20?
  14. 14.Is 27531 divisible by 12?
  15. 15.Is 15218 divisible by 12?
  16. 16.Is 11592 divisible by 2?
  17. 17.Is 11528 divisible by 4?
  18. 18.Is 45768 divisible by 12?
  19. 19.Is 121743 divisible by 19?
  20. 20.Is 21723 divisible by 5?
  21. 21.Is 10988 divisible by 2?
  22. 22.Is 36892 divisible by 11?
  23. 23.Is 9697 divisible by 2?
  24. 24.Is 19593 divisible by 3?
  25. 25.Is 68987 divisible by 12?
  26. 26.Is 1679 divisible by 6?
  27. 27.Is 5364 divisible by 3?
  28. 28.Is 18269 divisible by 3?
  29. 29.Is 115034 divisible by 23?
  30. 30.Is 3372 divisible by 5?
  31. 31.Is 88230 divisible by 15?
  32. 32.Is 3248 divisible by 4?
  33. 33.Is 17488 divisible by 9?
  34. 34.Is 65970 divisible by 30?
  35. 35.Is 27306 divisible by 6?
  36. 36.Is 37254 divisible by 7?
  37. 37.Is 66926 divisible by 11?
  38. 38.Is 74857 divisible by 13?
  39. 39.Is 88100 divisible by 17?
  40. 40.Is 14150 divisible by 5?

Answer key

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

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