← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 887 · 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 52119 divisible by 23?
  2. 2.Is 14929 divisible by 17?
  3. 3.Is 47842 divisible by 10?
  4. 4.Is 58464 divisible by 24?
  5. 5.Is 118351 divisible by 19?
  6. 6.Is 3240 divisible by 12?
  7. 7.Is 31932 divisible by 7?
  8. 8.Is 12118 divisible by 2?
  9. 9.Is 124410 divisible by 30?
  10. 10.Is 6363 divisible by 5?
  11. 11.Is 4054 divisible by 7?
  12. 12.Is 26231 divisible by 5?
  13. 13.Is 9490 divisible by 13?
  14. 14.Is 69856 divisible by 10?
  15. 15.Is 123678 divisible by 18?
  16. 16.Is 579 divisible by 6?
  17. 17.Is 37642 divisible by 10?
  18. 18.Is 2799 divisible by 3?
  19. 19.Is 60624 divisible by 17?
  20. 20.Is 21296 divisible by 10?
  21. 21.Is 8101 divisible by 4?
  22. 22.Is 111282 divisible by 17?
  23. 23.Is 32214 divisible by 13?
  24. 24.Is 61378 divisible by 11?
  25. 25.Is 47898 divisible by 18?
  26. 26.Is 77841 divisible by 19?
  27. 27.Is 13567 divisible by 2?
  28. 28.Is 113904 divisible by 18?
  29. 29.Is 166880 divisible by 30?
  30. 30.Is 86059 divisible by 19?
  31. 31.Is 25096 divisible by 6?
  32. 32.Is 7047 divisible by 2?
  33. 33.Is 6311 divisible by 5?
  34. 34.Is 18162 divisible by 3?
  35. 35.Is 25531 divisible by 7?
  36. 36.Is 1681 divisible by 2?
  37. 37.Is 2108 divisible by 5?
  38. 38.Is 120953 divisible by 18?
  39. 39.Is 7283 divisible by 2?
  40. 40.Is 70195 divisible by 24?

Answer key

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

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