← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 635 · 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 20216 divisible by 19?
  2. 2.Is 55518 divisible by 12?
  3. 3.Is 6794 divisible by 9?
  4. 4.Is 5445 divisible by 15?
  5. 5.Is 17342 divisible by 13?
  6. 6.Is 41400 divisible by 30?
  7. 7.Is 2590 divisible by 7?
  8. 8.Is 34805 divisible by 5?
  9. 9.Is 20164 divisible by 5?
  10. 10.Is 194581 divisible by 30?
  11. 11.Is 4663 divisible by 8?
  12. 12.Is 197040 divisible by 30?
  13. 13.Is 112938 divisible by 23?
  14. 14.Is 17304 divisible by 24?
  15. 15.Is 349 divisible by 4?
  16. 16.Is 105849 divisible by 19?
  17. 17.Is 8355 divisible by 3?
  18. 18.Is 84424 divisible by 17?
  19. 19.Is 26361 divisible by 5?
  20. 20.Is 37835 divisible by 7?
  21. 21.Is 52890 divisible by 19?
  22. 22.Is 6150 divisible by 15?
  23. 23.Is 114787 divisible by 20?
  24. 24.Is 5640 divisible by 2?
  25. 25.Is 41998 divisible by 6?
  26. 26.Is 9409 divisible by 10?
  27. 27.Is 7528 divisible by 4?
  28. 28.Is 92203 divisible by 17?
  29. 29.Is 123871 divisible by 24?
  30. 30.Is 44955 divisible by 12?
  31. 31.Is 66620 divisible by 10?
  32. 32.Is 30044 divisible by 6?
  33. 33.Is 65357 divisible by 15?
  34. 34.Is 67988 divisible by 23?
  35. 35.Is 107250 divisible by 30?
  36. 36.Is 15035 divisible by 5?
  37. 37.Is 53550 divisible by 30?
  38. 38.Is 2429 divisible by 2?
  39. 39.Is 38086 divisible by 18?
  40. 40.Is 61134 divisible by 23?

Answer key

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

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