← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 107 · 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 153915 divisible by 24?
  2. 2.Is 12580 divisible by 5?
  3. 3.Is 8077 divisible by 3?
  4. 4.Is 13284 divisible by 2?
  5. 5.Is 18798 divisible by 3?
  6. 6.Is 45248 divisible by 7?
  7. 7.Is 33092 divisible by 5?
  8. 8.Is 30898 divisible by 7?
  9. 9.Is 116370 divisible by 30?
  10. 10.Is 88464 divisible by 19?
  11. 11.Is 10307 divisible by 3?
  12. 12.Is 36892 divisible by 7?
  13. 13.Is 15044 divisible by 24?
  14. 14.Is 18377 divisible by 10?
  15. 15.Is 67993 divisible by 19?
  16. 16.Is 114743 divisible by 18?
  17. 17.Is 36024 divisible by 8?
  18. 18.Is 1576 divisible by 4?
  19. 19.Is 28742 divisible by 7?
  20. 20.Is 11843 divisible by 13?
  21. 21.Is 29954 divisible by 24?
  22. 22.Is 8920 divisible by 4?
  23. 23.Is 29493 divisible by 18?
  24. 24.Is 107086 divisible by 17?
  25. 25.Is 38751 divisible by 29?
  26. 26.Is 40937 divisible by 15?
  27. 27.Is 75883 divisible by 19?
  28. 28.Is 44360 divisible by 20?
  29. 29.Is 11385 divisible by 11?
  30. 30.Is 52277 divisible by 18?
  31. 31.Is 32802 divisible by 7?
  32. 32.Is 15036 divisible by 6?
  33. 33.Is 21589 divisible by 7?
  34. 34.Is 59177 divisible by 17?
  35. 35.Is 128160 divisible by 20?
  36. 36.Is 21537 divisible by 9?
  37. 37.Is 31325 divisible by 7?
  38. 38.Is 129137 divisible by 29?
  39. 39.Is 47936 divisible by 15?
  40. 40.Is 53650 divisible by 11?

Answer key

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

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