← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 343 · 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 105128 divisible by 17?
  2. 2.Is 7283 divisible by 10?
  3. 3.Is 3911 divisible by 18?
  4. 4.Is 78013 divisible by 13?
  5. 5.Is 36355 divisible by 11?
  6. 6.Is 16892 divisible by 17?
  7. 7.Is 40824 divisible by 8?
  8. 8.Is 9396 divisible by 4?
  9. 9.Is 27280 divisible by 8?
  10. 10.Is 153617 divisible by 23?
  11. 11.Is 8220 divisible by 4?
  12. 12.Is 39311 divisible by 19?
  13. 13.Is 36594 divisible by 12?
  14. 14.Is 16476 divisible by 5?
  15. 15.Is 35820 divisible by 9?
  16. 16.Is 18643 divisible by 5?
  17. 17.Is 29564 divisible by 19?
  18. 18.Is 65940 divisible by 19?
  19. 19.Is 15296 divisible by 3?
  20. 20.Is 22155 divisible by 4?
  21. 21.Is 25650 divisible by 19?
  22. 22.Is 131423 divisible by 19?
  23. 23.Is 14452 divisible by 4?
  24. 24.Is 156473 divisible by 29?
  25. 25.Is 7190 divisible by 2?
  26. 26.Is 26090 divisible by 10?
  27. 27.Is 936 divisible by 3?
  28. 28.Is 17674 divisible by 12?
  29. 29.Is 91300 divisible by 20?
  30. 30.Is 64710 divisible by 10?
  31. 31.Is 83329 divisible by 23?
  32. 32.Is 18124 divisible by 4?
  33. 33.Is 9658 divisible by 2?
  34. 34.Is 163080 divisible by 30?
  35. 35.Is 109663 divisible by 19?
  36. 36.Is 67276 divisible by 11?
  37. 37.Is 98239 divisible by 18?
  38. 38.Is 99972 divisible by 18?
  39. 39.Is 42591 divisible by 15?
  40. 40.Is 11612 divisible by 5?

Answer key

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

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