← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 665 · 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 21762 divisible by 8?
  2. 2.Is 30756 divisible by 6?
  3. 3.Is 5406 divisible by 17?
  4. 4.Is 12851 divisible by 2?
  5. 5.Is 30443 divisible by 11?
  6. 6.Is 38976 divisible by 29?
  7. 7.Is 42941 divisible by 9?
  8. 8.Is 9384 divisible by 24?
  9. 9.Is 62433 divisible by 9?
  10. 10.Is 35044 divisible by 23?
  11. 11.Is 12102 divisible by 11?
  12. 12.Is 118424 divisible by 23?
  13. 13.Is 10666 divisible by 15?
  14. 14.Is 29749 divisible by 12?
  15. 15.Is 4048 divisible by 8?
  16. 16.Is 87077 divisible by 15?
  17. 17.Is 78980 divisible by 20?
  18. 18.Is 18631 divisible by 18?
  19. 19.Is 18570 divisible by 30?
  20. 20.Is 189167 divisible by 29?
  21. 21.Is 22824 divisible by 6?
  22. 22.Is 40871 divisible by 23?
  23. 23.Is 16360 divisible by 11?
  24. 24.Is 18265 divisible by 4?
  25. 25.Is 92047 divisible by 19?
  26. 26.Is 17463 divisible by 3?
  27. 27.Is 74363 divisible by 15?
  28. 28.Is 15900 divisible by 5?
  29. 29.Is 121980 divisible by 19?
  30. 30.Is 3081 divisible by 6?
  31. 31.Is 3103 divisible by 7?
  32. 32.Is 24230 divisible by 5?
  33. 33.Is 55990 divisible by 10?
  34. 34.Is 42019 divisible by 9?
  35. 35.Is 58374 divisible by 24?
  36. 36.Is 152021 divisible by 23?
  37. 37.Is 14220 divisible by 20?
  38. 38.Is 343 divisible by 2?
  39. 39.Is 36004 divisible by 6?
  40. 40.Is 38217 divisible by 17?

Answer key

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

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