← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 548 · 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 25080 divisible by 20?
  2. 2.Is 22448 divisible by 8?
  3. 3.Is 29872 divisible by 19?
  4. 4.Is 150385 divisible by 23?
  5. 5.Is 61770 divisible by 10?
  6. 6.Is 12969 divisible by 9?
  7. 7.Is 15883 divisible by 12?
  8. 8.Is 23536 divisible by 8?
  9. 9.Is 96434 divisible by 17?
  10. 10.Is 105405 divisible by 30?
  11. 11.Is 38918 divisible by 11?
  12. 12.Is 14220 divisible by 5?
  13. 13.Is 8788 divisible by 4?
  14. 14.Is 31244 divisible by 7?
  15. 15.Is 287 divisible by 6?
  16. 16.Is 69486 divisible by 29?
  17. 17.Is 45593 divisible by 9?
  18. 18.Is 179520 divisible by 30?
  19. 19.Is 62358 divisible by 19?
  20. 20.Is 129040 divisible by 20?
  21. 21.Is 8204 divisible by 4?
  22. 22.Is 14290 divisible by 5?
  23. 23.Is 80294 divisible by 12?
  24. 24.Is 1197 divisible by 2?
  25. 25.Is 88480 divisible by 15?
  26. 26.Is 13263 divisible by 19?
  27. 27.Is 108765 divisible by 23?
  28. 28.Is 78199 divisible by 19?
  29. 29.Is 26132 divisible by 17?
  30. 30.Is 3312 divisible by 4?
  31. 31.Is 45945 divisible by 9?
  32. 32.Is 39046 divisible by 6?
  33. 33.Is 9384 divisible by 17?
  34. 34.Is 33792 divisible by 24?
  35. 35.Is 65191 divisible by 11?
  36. 36.Is 161472 divisible by 29?
  37. 37.Is 102816 divisible by 17?
  38. 38.Is 51264 divisible by 9?
  39. 39.Is 125404 divisible by 20?
  40. 40.Is 546 divisible by 6?

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. yes
  13. yes
  14. no
  15. no
  16. no
  17. no
  18. yes
  19. yes
  20. yes
  21. yes
  22. yes
  23. no
  24. no
  25. no
  26. no
  27. no
  28. no
  29. no
  30. yes
  31. yes
  32. no
  33. yes
  34. yes
  35. no
  36. yes
  37. yes
  38. yes
  39. no
  40. yes

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