← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 280 · 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 1403 divisible by 23?
  2. 2.Is 26369 divisible by 15?
  3. 3.Is 1805 divisible by 11?
  4. 4.Is 32098 divisible by 11?
  5. 5.Is 60888 divisible by 13?
  6. 6.Is 87359 divisible by 15?
  7. 7.Is 39176 divisible by 8?
  8. 8.Is 1576 divisible by 5?
  9. 9.Is 30245 divisible by 6?
  10. 10.Is 24940 divisible by 4?
  11. 11.Is 19867 divisible by 30?
  12. 12.Is 14639 divisible by 11?
  13. 13.Is 15887 divisible by 11?
  14. 14.Is 35486 divisible by 15?
  15. 15.Is 23403 divisible by 29?
  16. 16.Is 59928 divisible by 24?
  17. 17.Is 140271 divisible by 23?
  18. 18.Is 4600 divisible by 8?
  19. 19.Is 105658 divisible by 29?
  20. 20.Is 11443 divisible by 2?
  21. 21.Is 13320 divisible by 5?
  22. 22.Is 150517 divisible by 23?
  23. 23.Is 30102 divisible by 29?
  24. 24.Is 3341 divisible by 2?
  25. 25.Is 112178 divisible by 24?
  26. 26.Is 69271 divisible by 20?
  27. 27.Is 75024 divisible by 30?
  28. 28.Is 303 divisible by 4?
  29. 29.Is 1764 divisible by 6?
  30. 30.Is 11133 divisible by 18?
  31. 31.Is 13668 divisible by 5?
  32. 32.Is 14592 divisible by 24?
  33. 33.Is 29774 divisible by 5?
  34. 34.Is 86528 divisible by 13?
  35. 35.Is 31917 divisible by 10?
  36. 36.Is 10636 divisible by 8?
  37. 37.Is 4140 divisible by 2?
  38. 38.Is 37016 divisible by 7?
  39. 39.Is 20683 divisible by 19?
  40. 40.Is 27242 divisible by 11?

Answer key

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

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