← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 230 · 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 19932 divisible by 5?
  2. 2.Is 26397 divisible by 7?
  3. 3.Is 92990 divisible by 17?
  4. 4.Is 14616 divisible by 4?
  5. 5.Is 88162 divisible by 20?
  6. 6.Is 16617 divisible by 6?
  7. 7.Is 16867 divisible by 9?
  8. 8.Is 124293 divisible by 19?
  9. 9.Is 7595 divisible by 5?
  10. 10.Is 39668 divisible by 7?
  11. 11.Is 31301 divisible by 6?
  12. 12.Is 113390 divisible by 29?
  13. 13.Is 131960 divisible by 20?
  14. 14.Is 54264 divisible by 19?
  15. 15.Is 17193 divisible by 5?
  16. 16.Is 22713 divisible by 5?
  17. 17.Is 1132 divisible by 9?
  18. 18.Is 29421 divisible by 7?
  19. 19.Is 6685 divisible by 5?
  20. 20.Is 27156 divisible by 4?
  21. 21.Is 15858 divisible by 18?
  22. 22.Is 27367 divisible by 19?
  23. 23.Is 8735 divisible by 5?
  24. 24.Is 5130 divisible by 13?
  25. 25.Is 100800 divisible by 29?
  26. 26.Is 17172 divisible by 18?
  27. 27.Is 58593 divisible by 15?
  28. 28.Is 42240 divisible by 23?
  29. 29.Is 27227 divisible by 19?
  30. 30.Is 1611 divisible by 6?
  31. 31.Is 10039 divisible by 18?
  32. 32.Is 54096 divisible by 8?
  33. 33.Is 51391 divisible by 17?
  34. 34.Is 8365 divisible by 2?
  35. 35.Is 53076 divisible by 11?
  36. 36.Is 13704 divisible by 24?
  37. 37.Is 175037 divisible by 30?
  38. 38.Is 11819 divisible by 4?
  39. 39.Is 18336 divisible by 6?
  40. 40.Is 52237 divisible by 12?

Answer key

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

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