← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 293 · 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 9426 divisible by 6?
  2. 2.Is 70918 divisible by 30?
  3. 3.Is 53388 divisible by 18?
  4. 4.Is 27085 divisible by 23?
  5. 5.Is 130801 divisible by 20?
  6. 6.Is 33827 divisible by 6?
  7. 7.Is 46940 divisible by 23?
  8. 8.Is 12008 divisible by 19?
  9. 9.Is 5727 divisible by 11?
  10. 10.Is 7879 divisible by 24?
  11. 11.Is 47765 divisible by 8?
  12. 12.Is 27592 divisible by 10?
  13. 13.Is 158235 divisible by 29?
  14. 14.Is 47606 divisible by 7?
  15. 15.Is 18970 divisible by 10?
  16. 16.Is 1418 divisible by 12?
  17. 17.Is 49500 divisible by 30?
  18. 18.Is 1813 divisible by 2?
  19. 19.Is 529 divisible by 2?
  20. 20.Is 27953 divisible by 5?
  21. 21.Is 501 divisible by 10?
  22. 22.Is 37889 divisible by 29?
  23. 23.Is 41508 divisible by 6?
  24. 24.Is 26064 divisible by 17?
  25. 25.Is 109733 divisible by 23?
  26. 26.Is 3521 divisible by 2?
  27. 27.Is 11576 divisible by 8?
  28. 28.Is 7252 divisible by 2?
  29. 29.Is 18875 divisible by 10?
  30. 30.Is 3935 divisible by 4?
  31. 31.Is 57024 divisible by 30?
  32. 32.Is 21799 divisible by 4?
  33. 33.Is 5321 divisible by 17?
  34. 34.Is 6072 divisible by 4?
  35. 35.Is 7971 divisible by 12?
  36. 36.Is 32895 divisible by 9?
  37. 37.Is 1083 divisible by 19?
  38. 38.Is 22338 divisible by 17?
  39. 39.Is 48807 divisible by 9?
  40. 40.Is 76893 divisible by 15?

Answer key

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

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