← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 684 · 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 85529 divisible by 13?
  2. 2.Is 4241 divisible by 2?
  3. 3.Is 8736 divisible by 6?
  4. 4.Is 51774 divisible by 29?
  5. 5.Is 10992 divisible by 4?
  6. 6.Is 26820 divisible by 5?
  7. 7.Is 27364 divisible by 7?
  8. 8.Is 2229 divisible by 3?
  9. 9.Is 27661 divisible by 19?
  10. 10.Is 97346 divisible by 30?
  11. 11.Is 33644 divisible by 6?
  12. 12.Is 11898 divisible by 3?
  13. 13.Is 27433 divisible by 7?
  14. 14.Is 13107 divisible by 3?
  15. 15.Is 31085 divisible by 19?
  16. 16.Is 61640 divisible by 20?
  17. 17.Is 65976 divisible by 24?
  18. 18.Is 7781 divisible by 2?
  19. 19.Is 54817 divisible by 8?
  20. 20.Is 40580 divisible by 10?
  21. 21.Is 48136 divisible by 13?
  22. 22.Is 59735 divisible by 13?
  23. 23.Is 26163 divisible by 19?
  24. 24.Is 766 divisible by 6?
  25. 25.Is 12122 divisible by 11?
  26. 26.Is 105147 divisible by 17?
  27. 27.Is 489 divisible by 2?
  28. 28.Is 9029 divisible by 2?
  29. 29.Is 22912 divisible by 10?
  30. 30.Is 73030 divisible by 11?
  31. 31.Is 95807 divisible by 19?
  32. 32.Is 42078 divisible by 12?
  33. 33.Is 3530 divisible by 2?
  34. 34.Is 34255 divisible by 13?
  35. 35.Is 21942 divisible by 23?
  36. 36.Is 2271 divisible by 3?
  37. 37.Is 1693 divisible by 5?
  38. 38.Is 41310 divisible by 10?
  39. 39.Is 48336 divisible by 19?
  40. 40.Is 11168 divisible by 2?

Answer key

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

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