← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 942 · 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 47880 divisible by 24?
  2. 2.Is 95893 divisible by 19?
  3. 3.Is 8236 divisible by 2?
  4. 4.Is 1279 divisible by 15?
  5. 5.Is 68295 divisible by 15?
  6. 6.Is 57222 divisible by 18?
  7. 7.Is 14196 divisible by 13?
  8. 8.Is 21032 divisible by 4?
  9. 9.Is 58630 divisible by 10?
  10. 10.Is 35075 divisible by 23?
  11. 11.Is 2046 divisible by 3?
  12. 12.Is 85710 divisible by 19?
  13. 13.Is 22073 divisible by 5?
  14. 14.Is 52884 divisible by 9?
  15. 15.Is 58072 divisible by 11?
  16. 16.Is 64570 divisible by 10?
  17. 17.Is 14168 divisible by 7?
  18. 18.Is 34985 divisible by 8?
  19. 19.Is 1128 divisible by 2?
  20. 20.Is 14292 divisible by 12?
  21. 21.Is 29520 divisible by 20?
  22. 22.Is 54660 divisible by 12?
  23. 23.Is 112965 divisible by 17?
  24. 24.Is 24320 divisible by 5?
  25. 25.Is 2930 divisible by 5?
  26. 26.Is 2872 divisible by 3?
  27. 27.Is 55692 divisible by 17?
  28. 28.Is 12092 divisible by 4?
  29. 29.Is 145340 divisible by 23?
  30. 30.Is 21750 divisible by 5?
  31. 31.Is 13400 divisible by 5?
  32. 32.Is 18552 divisible by 12?
  33. 33.Is 73395 divisible by 20?
  34. 34.Is 93366 divisible by 18?
  35. 35.Is 36885 divisible by 15?
  36. 36.Is 34673 divisible by 7?
  37. 37.Is 26207 divisible by 10?
  38. 38.Is 2080 divisible by 12?
  39. 39.Is 91702 divisible by 17?
  40. 40.Is 22288 divisible by 7?

Answer key

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

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