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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 590 · 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 3747 divisible by 3?
  2. 2.Is 18900 divisible by 10?
  3. 3.Is 10512 divisible by 8?
  4. 4.Is 16255 divisible by 3?
  5. 5.Is 10240 divisible by 20?
  6. 6.Is 23628 divisible by 6?
  7. 7.Is 36763 divisible by 7?
  8. 8.Is 113858 divisible by 30?
  9. 9.Is 21194 divisible by 6?
  10. 10.Is 61272 divisible by 18?
  11. 11.Is 33997 divisible by 10?
  12. 12.Is 7335 divisible by 9?
  13. 13.Is 43848 divisible by 18?
  14. 14.Is 2638 divisible by 3?
  15. 15.Is 37800 divisible by 24?
  16. 16.Is 27270 divisible by 30?
  17. 17.Is 23286 divisible by 17?
  18. 18.Is 767 divisible by 2?
  19. 19.Is 137015 divisible by 20?
  20. 20.Is 29351 divisible by 6?
  21. 21.Is 29597 divisible by 15?
  22. 22.Is 4632 divisible by 6?
  23. 23.Is 38494 divisible by 19?
  24. 24.Is 91560 divisible by 24?
  25. 25.Is 58549 divisible by 13?
  26. 26.Is 112415 divisible by 20?
  27. 27.Is 42555 divisible by 12?
  28. 28.Is 30489 divisible by 8?
  29. 29.Is 129346 divisible by 23?
  30. 30.Is 102840 divisible by 24?
  31. 31.Is 68327 divisible by 13?
  32. 32.Is 26073 divisible by 9?
  33. 33.Is 14598 divisible by 8?
  34. 34.Is 2189 divisible by 3?
  35. 35.Is 30260 divisible by 10?
  36. 36.Is 56190 divisible by 9?
  37. 37.Is 117906 divisible by 23?
  38. 38.Is 9367 divisible by 17?
  39. 39.Is 30089 divisible by 18?
  40. 40.Is 11315 divisible by 4?

Answer key

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

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