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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 634 · 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 48486 divisible by 24?
  2. 2.Is 18021 divisible by 4?
  3. 3.Is 34299 divisible by 9?
  4. 4.Is 13050 divisible by 6?
  5. 5.Is 21041 divisible by 4?
  6. 6.Is 9141 divisible by 6?
  7. 7.Is 48261 divisible by 11?
  8. 8.Is 1485 divisible by 15?
  9. 9.Is 6793 divisible by 4?
  10. 10.Is 55384 divisible by 8?
  11. 11.Is 15148 divisible by 11?
  12. 12.Is 34194 divisible by 8?
  13. 13.Is 398 divisible by 2?
  14. 14.Is 8929 divisible by 2?
  15. 15.Is 8414 divisible by 5?
  16. 16.Is 6134 divisible by 4?
  17. 17.Is 52021 divisible by 8?
  18. 18.Is 1152 divisible by 4?
  19. 19.Is 9940 divisible by 10?
  20. 20.Is 17403 divisible by 3?
  21. 21.Is 41046 divisible by 6?
  22. 22.Is 79370 divisible by 20?
  23. 23.Is 40893 divisible by 7?
  24. 24.Is 65435 divisible by 23?
  25. 25.Is 1746 divisible by 6?
  26. 26.Is 25688 divisible by 8?
  27. 27.Is 6095 divisible by 2?
  28. 28.Is 117480 divisible by 30?
  29. 29.Is 49816 divisible by 9?
  30. 30.Is 107749 divisible by 19?
  31. 31.Is 52968 divisible by 12?
  32. 32.Is 70572 divisible by 11?
  33. 33.Is 9445 divisible by 4?
  34. 34.Is 104595 divisible by 19?
  35. 35.Is 59448 divisible by 24?
  36. 36.Is 3424 divisible by 3?
  37. 37.Is 43800 divisible by 7?
  38. 38.Is 4225 divisible by 4?
  39. 39.Is 3013 divisible by 23?
  40. 40.Is 30079 divisible by 24?

Answer key

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

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