← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 801 · 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 46678 divisible by 12?
  2. 2.Is 92978 divisible by 24?
  3. 3.Is 144967 divisible by 23?
  4. 4.Is 11845 divisible by 19?
  5. 5.Is 178273 divisible by 30?
  6. 6.Is 8229 divisible by 5?
  7. 7.Is 17194 divisible by 4?
  8. 8.Is 21345 divisible by 5?
  9. 9.Is 21424 divisible by 17?
  10. 10.Is 12344 divisible by 3?
  11. 11.Is 41995 divisible by 20?
  12. 12.Is 17370 divisible by 30?
  13. 13.Is 6412 divisible by 4?
  14. 14.Is 13612 divisible by 2?
  15. 15.Is 13851 divisible by 6?
  16. 16.Is 20568 divisible by 4?
  17. 17.Is 39501 divisible by 7?
  18. 18.Is 7660 divisible by 2?
  19. 19.Is 710 divisible by 3?
  20. 20.Is 13728 divisible by 7?
  21. 21.Is 25050 divisible by 18?
  22. 22.Is 59167 divisible by 10?
  23. 23.Is 41863 divisible by 7?
  24. 24.Is 52857 divisible by 17?
  25. 25.Is 59026 divisible by 11?
  26. 26.Is 11955 divisible by 3?
  27. 27.Is 18948 divisible by 13?
  28. 28.Is 4998 divisible by 3?
  29. 29.Is 5573 divisible by 2?
  30. 30.Is 2690 divisible by 10?
  31. 31.Is 112239 divisible by 30?
  32. 32.Is 134160 divisible by 30?
  33. 33.Is 9101 divisible by 2?
  34. 34.Is 10786 divisible by 6?
  35. 35.Is 9672 divisible by 8?
  36. 36.Is 20107 divisible by 10?
  37. 37.Is 32588 divisible by 8?
  38. 38.Is 1905 divisible by 3?
  39. 39.Is 7507 divisible by 4?
  40. 40.Is 93422 divisible by 17?

Answer key

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

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