← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 207 · 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 42453 divisible by 9?
  2. 2.Is 41540 divisible by 10?
  3. 3.Is 152760 divisible by 30?
  4. 4.Is 26384 divisible by 10?
  5. 5.Is 25750 divisible by 5?
  6. 6.Is 53811 divisible by 9?
  7. 7.Is 12492 divisible by 2?
  8. 8.Is 80592 divisible by 24?
  9. 9.Is 42898 divisible by 15?
  10. 10.Is 23840 divisible by 10?
  11. 11.Is 10172 divisible by 8?
  12. 12.Is 10824 divisible by 5?
  13. 13.Is 11030 divisible by 19?
  14. 14.Is 6862 divisible by 2?
  15. 15.Is 106940 divisible by 20?
  16. 16.Is 33334 divisible by 23?
  17. 17.Is 42349 divisible by 12?
  18. 18.Is 94652 divisible by 18?
  19. 19.Is 10680 divisible by 2?
  20. 20.Is 73237 divisible by 13?
  21. 21.Is 25040 divisible by 20?
  22. 22.Is 14754 divisible by 10?
  23. 23.Is 74948 divisible by 13?
  24. 24.Is 47878 divisible by 11?
  25. 25.Is 15259 divisible by 3?
  26. 26.Is 48234 divisible by 13?
  27. 27.Is 111485 divisible by 23?
  28. 28.Is 25019 divisible by 4?
  29. 29.Is 125121 divisible by 19?
  30. 30.Is 22340 divisible by 20?
  31. 31.Is 1617 divisible by 7?
  32. 32.Is 117865 divisible by 17?
  33. 33.Is 20761 divisible by 3?
  34. 34.Is 62936 divisible by 13?
  35. 35.Is 37088 divisible by 8?
  36. 36.Is 6598 divisible by 23?
  37. 37.Is 62071 divisible by 15?
  38. 38.Is 4072 divisible by 10?
  39. 39.Is 38083 divisible by 6?
  40. 40.Is 17640 divisible by 7?

Answer key

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

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