← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 730 · 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 25868 divisible by 30?
  2. 2.Is 9481 divisible by 4?
  3. 3.Is 20380 divisible by 3?
  4. 4.Is 128208 divisible by 30?
  5. 5.Is 3418 divisible by 3?
  6. 6.Is 93286 divisible by 20?
  7. 7.Is 40262 divisible by 7?
  8. 8.Is 61010 divisible by 18?
  9. 9.Is 31175 divisible by 5?
  10. 10.Is 13421 divisible by 4?
  11. 11.Is 138573 divisible by 20?
  12. 12.Is 10995 divisible by 3?
  13. 13.Is 4972 divisible by 11?
  14. 14.Is 9710 divisible by 6?
  15. 15.Is 15311 divisible by 9?
  16. 16.Is 64008 divisible by 24?
  17. 17.Is 49968 divisible by 24?
  18. 18.Is 87400 divisible by 19?
  19. 19.Is 5022 divisible by 18?
  20. 20.Is 87402 divisible by 17?
  21. 21.Is 1479 divisible by 6?
  22. 22.Is 42929 divisible by 13?
  23. 23.Is 21347 divisible by 30?
  24. 24.Is 16806 divisible by 4?
  25. 25.Is 113779 divisible by 20?
  26. 26.Is 9266 divisible by 13?
  27. 27.Is 37528 divisible by 23?
  28. 28.Is 732 divisible by 6?
  29. 29.Is 5690 divisible by 2?
  30. 30.Is 12422 divisible by 13?
  31. 31.Is 11932 divisible by 12?
  32. 32.Is 28944 divisible by 6?
  33. 33.Is 128010 divisible by 20?
  34. 34.Is 19009 divisible by 10?
  35. 35.Is 22760 divisible by 5?
  36. 36.Is 15663 divisible by 6?
  37. 37.Is 51280 divisible by 10?
  38. 38.Is 62396 divisible by 19?
  39. 39.Is 48066 divisible by 11?
  40. 40.Is 124961 divisible by 29?

Answer key

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

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