← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 998 · 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 7953 divisible by 24?
  2. 2.Is 65289 divisible by 29?
  3. 3.Is 89082 divisible by 18?
  4. 4.Is 25007 divisible by 5?
  5. 5.Is 9954 divisible by 9?
  6. 6.Is 26751 divisible by 8?
  7. 7.Is 32360 divisible by 8?
  8. 8.Is 22957 divisible by 7?
  9. 9.Is 45100 divisible by 30?
  10. 10.Is 73836 divisible by 11?
  11. 11.Is 7937 divisible by 3?
  12. 12.Is 1204 divisible by 2?
  13. 13.Is 26747 divisible by 5?
  14. 14.Is 57342 divisible by 19?
  15. 15.Is 47824 divisible by 8?
  16. 16.Is 50942 divisible by 12?
  17. 17.Is 1508 divisible by 2?
  18. 18.Is 72568 divisible by 11?
  19. 19.Is 28140 divisible by 30?
  20. 20.Is 6567 divisible by 5?
  21. 21.Is 47403 divisible by 23?
  22. 22.Is 25813 divisible by 6?
  23. 23.Is 1822 divisible by 3?
  24. 24.Is 75810 divisible by 15?
  25. 25.Is 18891 divisible by 12?
  26. 26.Is 110538 divisible by 23?
  27. 27.Is 82754 divisible by 18?
  28. 28.Is 16108 divisible by 24?
  29. 29.Is 13888 divisible by 2?
  30. 30.Is 26130 divisible by 5?
  31. 31.Is 116010 divisible by 18?
  32. 32.Is 96427 divisible by 15?
  33. 33.Is 14289 divisible by 3?
  34. 34.Is 32915 divisible by 29?
  35. 35.Is 23946 divisible by 23?
  36. 36.Is 87076 divisible by 23?
  37. 37.Is 22064 divisible by 5?
  38. 38.Is 10776 divisible by 8?
  39. 39.Is 49841 divisible by 23?
  40. 40.Is 62007 divisible by 11?

Answer key

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

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