← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 840 · 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 38217 divisible by 17?
  2. 2.Is 3581 divisible by 2?
  3. 3.Is 24078 divisible by 6?
  4. 4.Is 11440 divisible by 10?
  5. 5.Is 18716 divisible by 5?
  6. 6.Is 112801 divisible by 29?
  7. 7.Is 155802 divisible by 23?
  8. 8.Is 3027 divisible by 4?
  9. 9.Is 9150 divisible by 5?
  10. 10.Is 113211 divisible by 30?
  11. 11.Is 183090 divisible by 30?
  12. 12.Is 50139 divisible by 9?
  13. 13.Is 207930 divisible by 30?
  14. 14.Is 99926 divisible by 24?
  15. 15.Is 38727 divisible by 7?
  16. 16.Is 87714 divisible by 18?
  17. 17.Is 1730 divisible by 11?
  18. 18.Is 12182 divisible by 2?
  19. 19.Is 30226 divisible by 7?
  20. 20.Is 21628 divisible by 30?
  21. 21.Is 31530 divisible by 15?
  22. 22.Is 49175 divisible by 19?
  23. 23.Is 7492 divisible by 2?
  24. 24.Is 71610 divisible by 11?
  25. 25.Is 10604 divisible by 3?
  26. 26.Is 18037 divisible by 17?
  27. 27.Is 82480 divisible by 17?
  28. 28.Is 10827 divisible by 8?
  29. 29.Is 77000 divisible by 11?
  30. 30.Is 7735 divisible by 13?
  31. 31.Is 127194 divisible by 20?
  32. 32.Is 8760 divisible by 5?
  33. 33.Is 157054 divisible by 24?
  34. 34.Is 44331 divisible by 24?
  35. 35.Is 60146 divisible by 29?
  36. 36.Is 33814 divisible by 29?
  37. 37.Is 5461 divisible by 20?
  38. 38.Is 2485 divisible by 11?
  39. 39.Is 5562 divisible by 3?
  40. 40.Is 94147 divisible by 29?

Answer key

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

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