← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 524 · 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 64189 divisible by 18?
  2. 2.Is 123061 divisible by 23?
  3. 3.Is 19545 divisible by 3?
  4. 4.Is 109682 divisible by 17?
  5. 5.Is 92572 divisible by 17?
  6. 6.Is 9008 divisible by 8?
  7. 7.Is 20267 divisible by 6?
  8. 8.Is 68643 divisible by 15?
  9. 9.Is 29609 divisible by 24?
  10. 10.Is 36978 divisible by 6?
  11. 11.Is 38995 divisible by 6?
  12. 12.Is 7976 divisible by 2?
  13. 13.Is 3034 divisible by 3?
  14. 14.Is 95823 divisible by 23?
  15. 15.Is 70258 divisible by 11?
  16. 16.Is 30025 divisible by 6?
  17. 17.Is 50085 divisible by 9?
  18. 18.Is 19217 divisible by 15?
  19. 19.Is 18888 divisible by 8?
  20. 20.Is 11493 divisible by 5?
  21. 21.Is 89475 divisible by 15?
  22. 22.Is 19799 divisible by 4?
  23. 23.Is 75450 divisible by 30?
  24. 24.Is 104162 divisible by 18?
  25. 25.Is 25683 divisible by 4?
  26. 26.Is 1501 divisible by 7?
  27. 27.Is 89326 divisible by 29?
  28. 28.Is 49667 divisible by 10?
  29. 29.Is 20445 divisible by 3?
  30. 30.Is 50328 divisible by 8?
  31. 31.Is 131341 divisible by 29?
  32. 32.Is 42414 divisible by 9?
  33. 33.Is 36499 divisible by 17?
  34. 34.Is 24500 divisible by 5?
  35. 35.Is 28774 divisible by 5?
  36. 36.Is 1950 divisible by 5?
  37. 37.Is 21720 divisible by 10?
  38. 38.Is 20082 divisible by 3?
  39. 39.Is 556 divisible by 20?
  40. 40.Is 23210 divisible by 15?

Answer key

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

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