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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 967 · 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 26073 divisible by 9?
  2. 2.Is 2317 divisible by 6?
  3. 3.Is 15441 divisible by 8?
  4. 4.Is 68853 divisible by 13?
  5. 5.Is 25623 divisible by 19?
  6. 6.Is 11274 divisible by 3?
  7. 7.Is 24312 divisible by 10?
  8. 8.Is 21335 divisible by 5?
  9. 9.Is 27504 divisible by 7?
  10. 10.Is 73853 divisible by 13?
  11. 11.Is 9493 divisible by 2?
  12. 12.Is 124956 divisible by 18?
  13. 13.Is 36995 divisible by 12?
  14. 14.Is 10472 divisible by 11?
  15. 15.Is 159815 divisible by 23?
  16. 16.Is 152722 divisible by 24?
  17. 17.Is 23880 divisible by 8?
  18. 18.Is 12064 divisible by 3?
  19. 19.Is 31682 divisible by 18?
  20. 20.Is 52785 divisible by 9?
  21. 21.Is 84409 divisible by 13?
  22. 22.Is 4141 divisible by 7?
  23. 23.Is 46098 divisible by 18?
  24. 24.Is 144 divisible by 6?
  25. 25.Is 136645 divisible by 29?
  26. 26.Is 109570 divisible by 19?
  27. 27.Is 12140 divisible by 5?
  28. 28.Is 13846 divisible by 7?
  29. 29.Is 21040 divisible by 4?
  30. 30.Is 23579 divisible by 17?
  31. 31.Is 10332 divisible by 12?
  32. 32.Is 26760 divisible by 6?
  33. 33.Is 94680 divisible by 18?
  34. 34.Is 12246 divisible by 10?
  35. 35.Is 164144 divisible by 30?
  36. 36.Is 9130 divisible by 11?
  37. 37.Is 6375 divisible by 19?
  38. 38.Is 48670 divisible by 9?
  39. 39.Is 147045 divisible by 23?
  40. 40.Is 6816 divisible by 4?

Answer key

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

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