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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 260 · 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 8367 divisible by 4?
  2. 2.Is 34195 divisible by 5?
  3. 3.Is 66790 divisible by 19?
  4. 4.Is 35040 divisible by 6?
  5. 5.Is 20656 divisible by 4?
  6. 6.Is 11991 divisible by 2?
  7. 7.Is 24377 divisible by 10?
  8. 8.Is 13141 divisible by 2?
  9. 9.Is 42654 divisible by 17?
  10. 10.Is 110080 divisible by 20?
  11. 11.Is 25438 divisible by 10?
  12. 12.Is 16256 divisible by 13?
  13. 13.Is 19934 divisible by 5?
  14. 14.Is 86541 divisible by 13?
  15. 15.Is 72512 divisible by 11?
  16. 16.Is 33423 divisible by 6?
  17. 17.Is 59677 divisible by 30?
  18. 18.Is 61624 divisible by 19?
  19. 19.Is 13188 divisible by 2?
  20. 20.Is 45412 divisible by 7?
  21. 21.Is 9453 divisible by 9?
  22. 22.Is 8296 divisible by 4?
  23. 23.Is 16362 divisible by 5?
  24. 24.Is 16776 divisible by 5?
  25. 25.Is 36168 divisible by 7?
  26. 26.Is 68835 divisible by 13?
  27. 27.Is 78585 divisible by 13?
  28. 28.Is 160811 divisible by 24?
  29. 29.Is 26640 divisible by 15?
  30. 30.Is 8313 divisible by 2?
  31. 31.Is 5334 divisible by 7?
  32. 32.Is 97129 divisible by 23?
  33. 33.Is 67032 divisible by 18?
  34. 34.Is 26719 divisible by 4?
  35. 35.Is 56372 divisible by 20?
  36. 36.Is 53192 divisible by 10?
  37. 37.Is 55913 divisible by 11?
  38. 38.Is 22345 divisible by 5?
  39. 39.Is 10786 divisible by 7?
  40. 40.Is 12044 divisible by 6?

Answer key

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

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