← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 155 · 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 81960 divisible by 24?
  2. 2.Is 28485 divisible by 15?
  3. 3.Is 34552 divisible by 7?
  4. 4.Is 5061 divisible by 3?
  5. 5.Is 195431 divisible by 29?
  6. 6.Is 126362 divisible by 23?
  7. 7.Is 12774 divisible by 2?
  8. 8.Is 42907 divisible by 11?
  9. 9.Is 15470 divisible by 7?
  10. 10.Is 29367 divisible by 15?
  11. 11.Is 1270 divisible by 3?
  12. 12.Is 20676 divisible by 13?
  13. 13.Is 11121 divisible by 13?
  14. 14.Is 42068 divisible by 8?
  15. 15.Is 143280 divisible by 30?
  16. 16.Is 197461 divisible by 29?
  17. 17.Is 20220 divisible by 18?
  18. 18.Is 10810 divisible by 3?
  19. 19.Is 117300 divisible by 17?
  20. 20.Is 79725 divisible by 18?
  21. 21.Is 5054 divisible by 5?
  22. 22.Is 34247 divisible by 8?
  23. 23.Is 9040 divisible by 20?
  24. 24.Is 38932 divisible by 9?
  25. 25.Is 50070 divisible by 24?
  26. 26.Is 9540 divisible by 4?
  27. 27.Is 340 divisible by 5?
  28. 28.Is 5915 divisible by 7?
  29. 29.Is 12210 divisible by 3?
  30. 30.Is 5218 divisible by 2?
  31. 31.Is 66321 divisible by 15?
  32. 32.Is 49500 divisible by 30?
  33. 33.Is 25791 divisible by 10?
  34. 34.Is 114840 divisible by 18?
  35. 35.Is 22236 divisible by 17?
  36. 36.Is 65568 divisible by 24?
  37. 37.Is 39112 divisible by 7?
  38. 38.Is 41424 divisible by 6?
  39. 39.Is 28980 divisible by 18?
  40. 40.Is 46782 divisible by 18?

Answer key

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

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