← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 238 · 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 64685 divisible by 29?
  2. 2.Is 72590 divisible by 17?
  3. 3.Is 1262 divisible by 3?
  4. 4.Is 33804 divisible by 18?
  5. 5.Is 27673 divisible by 7?
  6. 6.Is 674 divisible by 2?
  7. 7.Is 87575 divisible by 17?
  8. 8.Is 2276 divisible by 4?
  9. 9.Is 45968 divisible by 8?
  10. 10.Is 6868 divisible by 2?
  11. 11.Is 61326 divisible by 9?
  12. 12.Is 23965 divisible by 13?
  13. 13.Is 1327 divisible by 3?
  14. 14.Is 66258 divisible by 18?
  15. 15.Is 121567 divisible by 18?
  16. 16.Is 84464 divisible by 13?
  17. 17.Is 120576 divisible by 24?
  18. 18.Is 6480 divisible by 20?
  19. 19.Is 89999 divisible by 13?
  20. 20.Is 53964 divisible by 12?
  21. 21.Is 126920 divisible by 19?
  22. 22.Is 7545 divisible by 7?
  23. 23.Is 2755 divisible by 9?
  24. 24.Is 27881 divisible by 18?
  25. 25.Is 1156 divisible by 4?
  26. 26.Is 8780 divisible by 8?
  27. 27.Is 41250 divisible by 11?
  28. 28.Is 70890 divisible by 30?
  29. 29.Is 23760 divisible by 30?
  30. 30.Is 4278 divisible by 4?
  31. 31.Is 7335 divisible by 4?
  32. 32.Is 87948 divisible by 13?
  33. 33.Is 50331 divisible by 11?
  34. 34.Is 17191 divisible by 8?
  35. 35.Is 26276 divisible by 13?
  36. 36.Is 3354 divisible by 3?
  37. 37.Is 67019 divisible by 10?
  38. 38.Is 23432 divisible by 8?
  39. 39.Is 9030 divisible by 15?
  40. 40.Is 96951 divisible by 19?

Answer key

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

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