← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 384 · 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 130590 divisible by 30?
  2. 2.Is 153163 divisible by 23?
  3. 3.Is 34660 divisible by 10?
  4. 4.Is 90648 divisible by 24?
  5. 5.Is 40796 divisible by 6?
  6. 6.Is 38364 divisible by 23?
  7. 7.Is 20174 divisible by 7?
  8. 8.Is 17530 divisible by 3?
  9. 9.Is 112247 divisible by 23?
  10. 10.Is 120685 divisible by 20?
  11. 11.Is 19235 divisible by 7?
  12. 12.Is 10516 divisible by 11?
  13. 13.Is 45293 divisible by 7?
  14. 14.Is 8553 divisible by 17?
  15. 15.Is 74778 divisible by 11?
  16. 16.Is 1262 divisible by 3?
  17. 17.Is 11355 divisible by 3?
  18. 18.Is 39248 divisible by 7?
  19. 19.Is 8588 divisible by 18?
  20. 20.Is 12815 divisible by 11?
  21. 21.Is 48519 divisible by 29?
  22. 22.Is 82302 divisible by 29?
  23. 23.Is 81031 divisible by 23?
  24. 24.Is 125896 divisible by 30?
  25. 25.Is 71082 divisible by 11?
  26. 26.Is 8221 divisible by 5?
  27. 27.Is 8548 divisible by 18?
  28. 28.Is 20308 divisible by 24?
  29. 29.Is 3466 divisible by 5?
  30. 30.Is 33327 divisible by 23?
  31. 31.Is 31344 divisible by 24?
  32. 32.Is 26645 divisible by 30?
  33. 33.Is 202710 divisible by 29?
  34. 34.Is 5117 divisible by 2?
  35. 35.Is 88703 divisible by 24?
  36. 36.Is 19609 divisible by 10?
  37. 37.Is 94143 divisible by 20?
  38. 38.Is 83923 divisible by 12?
  39. 39.Is 20783 divisible by 11?
  40. 40.Is 101145 divisible by 15?

Answer key

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

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