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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 898 · 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 32137 divisible by 7?
  2. 2.Is 118566 divisible by 18?
  3. 3.Is 7878 divisible by 3?
  4. 4.Is 54708 divisible by 12?
  5. 5.Is 61730 divisible by 9?
  6. 6.Is 15563 divisible by 4?
  7. 7.Is 93752 divisible by 29?
  8. 8.Is 1220 divisible by 2?
  9. 9.Is 64359 divisible by 29?
  10. 10.Is 24679 divisible by 23?
  11. 11.Is 13165 divisible by 4?
  12. 12.Is 148032 divisible by 24?
  13. 13.Is 14607 divisible by 20?
  14. 14.Is 9490 divisible by 10?
  15. 15.Is 36248 divisible by 23?
  16. 16.Is 15720 divisible by 6?
  17. 17.Is 83280 divisible by 15?
  18. 18.Is 17868 divisible by 20?
  19. 19.Is 27753 divisible by 18?
  20. 20.Is 7127 divisible by 6?
  21. 21.Is 4209 divisible by 10?
  22. 22.Is 150624 divisible by 24?
  23. 23.Is 94044 divisible by 17?
  24. 24.Is 107464 divisible by 19?
  25. 25.Is 160784 divisible by 30?
  26. 26.Is 97138 divisible by 17?
  27. 27.Is 2590 divisible by 7?
  28. 28.Is 64664 divisible by 24?
  29. 29.Is 63208 divisible by 17?
  30. 30.Is 10212 divisible by 3?
  31. 31.Is 142538 divisible by 30?
  32. 32.Is 21559 divisible by 17?
  33. 33.Is 36704 divisible by 8?
  34. 34.Is 7490 divisible by 8?
  35. 35.Is 7823 divisible by 2?
  36. 36.Is 125926 divisible by 30?
  37. 37.Is 1556 divisible by 5?
  38. 38.Is 55800 divisible by 20?
  39. 39.Is 50369 divisible by 8?
  40. 40.Is 28050 divisible by 17?

Answer key

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

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