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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 9 · 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 3450 divisible by 6?
  2. 2.Is 25972 divisible by 4?
  3. 3.Is 88650 divisible by 15?
  4. 4.Is 2576 divisible by 2?
  5. 5.Is 9611 divisible by 2?
  6. 6.Is 42090 divisible by 23?
  7. 7.Is 58944 divisible by 24?
  8. 8.Is 6012 divisible by 4?
  9. 9.Is 125250 divisible by 30?
  10. 10.Is 37584 divisible by 6?
  11. 11.Is 102747 divisible by 19?
  12. 12.Is 4063 divisible by 2?
  13. 13.Is 164040 divisible by 24?
  14. 14.Is 108984 divisible by 24?
  15. 15.Is 122909 divisible by 29?
  16. 16.Is 20194 divisible by 4?
  17. 17.Is 46188 divisible by 18?
  18. 18.Is 8104 divisible by 2?
  19. 19.Is 107562 divisible by 30?
  20. 20.Is 3133 divisible by 2?
  21. 21.Is 7361 divisible by 17?
  22. 22.Is 184385 divisible by 30?
  23. 23.Is 31038 divisible by 17?
  24. 24.Is 8595 divisible by 18?
  25. 25.Is 26777 divisible by 4?
  26. 26.Is 18303 divisible by 3?
  27. 27.Is 33379 divisible by 29?
  28. 28.Is 35928 divisible by 8?
  29. 29.Is 56688 divisible by 24?
  30. 30.Is 16393 divisible by 13?
  31. 31.Is 27845 divisible by 4?
  32. 32.Is 91561 divisible by 19?
  33. 33.Is 32585 divisible by 19?
  34. 34.Is 22980 divisible by 30?
  35. 35.Is 40320 divisible by 6?
  36. 36.Is 75226 divisible by 29?
  37. 37.Is 47328 divisible by 19?
  38. 38.Is 15125 divisible by 10?
  39. 39.Is 27628 divisible by 6?
  40. 40.Is 29840 divisible by 10?

Answer key

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

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