← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 358 · 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 684 divisible by 2?
  2. 2.Is 69720 divisible by 10?
  3. 3.Is 10738 divisible by 13?
  4. 4.Is 15535 divisible by 9?
  5. 5.Is 68430 divisible by 10?
  6. 6.Is 91338 divisible by 18?
  7. 7.Is 178380 divisible by 30?
  8. 8.Is 45383 divisible by 10?
  9. 9.Is 115657 divisible by 18?
  10. 10.Is 1385 divisible by 4?
  11. 11.Is 39160 divisible by 8?
  12. 12.Is 40779 divisible by 23?
  13. 13.Is 23491 divisible by 18?
  14. 14.Is 67386 divisible by 20?
  15. 15.Is 114115 divisible by 29?
  16. 16.Is 11593 divisible by 9?
  17. 17.Is 92655 divisible by 30?
  18. 18.Is 109953 divisible by 24?
  19. 19.Is 4421 divisible by 23?
  20. 20.Is 115430 divisible by 17?
  21. 21.Is 84169 divisible by 15?
  22. 22.Is 24875 divisible by 23?
  23. 23.Is 9420 divisible by 10?
  24. 24.Is 57465 divisible by 9?
  25. 25.Is 19435 divisible by 23?
  26. 26.Is 98784 divisible by 18?
  27. 27.Is 13533 divisible by 2?
  28. 28.Is 4740 divisible by 20?
  29. 29.Is 145636 divisible by 23?
  30. 30.Is 18620 divisible by 5?
  31. 31.Is 7985 divisible by 5?
  32. 32.Is 55089 divisible by 9?
  33. 33.Is 10101 divisible by 13?
  34. 34.Is 95881 divisible by 17?
  35. 35.Is 79177 divisible by 15?
  36. 36.Is 26748 divisible by 10?
  37. 37.Is 11370 divisible by 4?
  38. 38.Is 3336 divisible by 12?
  39. 39.Is 121590 divisible by 18?
  40. 40.Is 29520 divisible by 15?

Answer key

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

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