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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 174 · 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 78107 divisible by 13?
  2. 2.Is 50576 divisible by 19?
  3. 3.Is 6746 divisible by 5?
  4. 4.Is 53201 divisible by 23?
  5. 5.Is 43115 divisible by 9?
  6. 6.Is 46790 divisible by 29?
  7. 7.Is 92776 divisible by 29?
  8. 8.Is 7474 divisible by 6?
  9. 9.Is 19500 divisible by 15?
  10. 10.Is 9241 divisible by 2?
  11. 11.Is 25249 divisible by 5?
  12. 12.Is 25839 divisible by 4?
  13. 13.Is 68680 divisible by 10?
  14. 14.Is 11296 divisible by 9?
  15. 15.Is 163066 divisible by 29?
  16. 16.Is 52275 divisible by 9?
  17. 17.Is 23918 divisible by 8?
  18. 18.Is 3651 divisible by 29?
  19. 19.Is 97246 divisible by 15?
  20. 20.Is 53860 divisible by 10?
  21. 21.Is 2659 divisible by 3?
  22. 22.Is 42030 divisible by 24?
  23. 23.Is 3040 divisible by 19?
  24. 24.Is 184244 divisible by 29?
  25. 25.Is 18630 divisible by 24?
  26. 26.Is 44328 divisible by 8?
  27. 27.Is 1624 divisible by 4?
  28. 28.Is 11170 divisible by 2?
  29. 29.Is 20735 divisible by 13?
  30. 30.Is 53562 divisible by 20?
  31. 31.Is 37946 divisible by 23?
  32. 32.Is 22024 divisible by 4?
  33. 33.Is 34307 divisible by 5?
  34. 34.Is 34167 divisible by 5?
  35. 35.Is 62298 divisible by 18?
  36. 36.Is 59595 divisible by 29?
  37. 37.Is 56330 divisible by 23?
  38. 38.Is 10247 divisible by 23?
  39. 39.Is 31502 divisible by 7?
  40. 40.Is 2415 divisible by 15?

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. no
  13. yes
  14. no
  15. no
  16. no
  17. no
  18. no
  19. no
  20. yes
  21. no
  22. no
  23. yes
  24. no
  25. no
  26. yes
  27. yes
  28. yes
  29. yes
  30. no
  31. no
  32. yes
  33. no
  34. no
  35. yes
  36. yes
  37. no
  38. no
  39. no
  40. yes

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