← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 208 · 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 75620 divisible by 19?
  2. 2.Is 20999 divisible by 23?
  3. 3.Is 27969 divisible by 11?
  4. 4.Is 30233 divisible by 5?
  5. 5.Is 69920 divisible by 23?
  6. 6.Is 12237 divisible by 30?
  7. 7.Is 50268 divisible by 12?
  8. 8.Is 3938 divisible by 6?
  9. 9.Is 47369 divisible by 15?
  10. 10.Is 38933 divisible by 8?
  11. 11.Is 34763 divisible by 8?
  12. 12.Is 2795 divisible by 2?
  13. 13.Is 125715 divisible by 29?
  14. 14.Is 57192 divisible by 24?
  15. 15.Is 80676 divisible by 12?
  16. 16.Is 83515 divisible by 19?
  17. 17.Is 22263 divisible by 12?
  18. 18.Is 29865 divisible by 15?
  19. 19.Is 41620 divisible by 20?
  20. 20.Is 2652 divisible by 6?
  21. 21.Is 97244 divisible by 23?
  22. 22.Is 11059 divisible by 6?
  23. 23.Is 11784 divisible by 8?
  24. 24.Is 49737 divisible by 15?
  25. 25.Is 133643 divisible by 24?
  26. 26.Is 16184 divisible by 4?
  27. 27.Is 65257 divisible by 30?
  28. 28.Is 88844 divisible by 13?
  29. 29.Is 32455 divisible by 5?
  30. 30.Is 5085 divisible by 3?
  31. 31.Is 14080 divisible by 8?
  32. 32.Is 8021 divisible by 8?
  33. 33.Is 4346 divisible by 2?
  34. 34.Is 40986 divisible by 23?
  35. 35.Is 7954 divisible by 15?
  36. 36.Is 21157 divisible by 4?
  37. 37.Is 20720 divisible by 8?
  38. 38.Is 87736 divisible by 20?
  39. 39.Is 46966 divisible by 11?
  40. 40.Is 18750 divisible by 15?

Answer key

  1. yes
  2. yes
  3. no
  4. no
  5. yes
  6. no
  7. yes
  8. no
  9. no
  10. no
  11. no
  12. no
  13. yes
  14. yes
  15. yes
  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. yes
  31. yes
  32. no
  33. yes
  34. yes
  35. no
  36. no
  37. yes
  38. no
  39. no
  40. yes

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