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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 615 · 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 53302 divisible by 8?
  2. 2.Is 12535 divisible by 5?
  3. 3.Is 6360 divisible by 10?
  4. 4.Is 100180 divisible by 20?
  5. 5.Is 183608 divisible by 30?
  6. 6.Is 28267 divisible by 19?
  7. 7.Is 59407 divisible by 15?
  8. 8.Is 15438 divisible by 6?
  9. 9.Is 13579 divisible by 8?
  10. 10.Is 3998 divisible by 7?
  11. 11.Is 38780 divisible by 10?
  12. 12.Is 19586 divisible by 5?
  13. 13.Is 25452 divisible by 4?
  14. 14.Is 14171 divisible by 5?
  15. 15.Is 13073 divisible by 5?
  16. 16.Is 20601 divisible by 9?
  17. 17.Is 43065 divisible by 9?
  18. 18.Is 1940 divisible by 10?
  19. 19.Is 64955 divisible by 11?
  20. 20.Is 194 divisible by 2?
  21. 21.Is 15145 divisible by 5?
  22. 22.Is 56369 divisible by 18?
  23. 23.Is 6963 divisible by 3?
  24. 24.Is 131428 divisible by 29?
  25. 25.Is 28709 divisible by 19?
  26. 26.Is 21259 divisible by 7?
  27. 27.Is 42514 divisible by 29?
  28. 28.Is 15264 divisible by 18?
  29. 29.Is 45343 divisible by 15?
  30. 30.Is 22458 divisible by 5?
  31. 31.Is 94884 divisible by 20?
  32. 32.Is 15444 divisible by 4?
  33. 33.Is 22233 divisible by 5?
  34. 34.Is 132050 divisible by 24?
  35. 35.Is 72941 divisible by 19?
  36. 36.Is 66543 divisible by 12?
  37. 37.Is 60754 divisible by 24?
  38. 38.Is 12597 divisible by 5?
  39. 39.Is 16635 divisible by 13?
  40. 40.Is 34358 divisible by 9?

Answer key

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

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