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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 556 · 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 93883 divisible by 18?
  2. 2.Is 51469 divisible by 11?
  3. 3.Is 52432 divisible by 11?
  4. 4.Is 44743 divisible by 17?
  5. 5.Is 19996 divisible by 4?
  6. 6.Is 5773 divisible by 23?
  7. 7.Is 98260 divisible by 20?
  8. 8.Is 90486 divisible by 18?
  9. 9.Is 16856 divisible by 7?
  10. 10.Is 33953 divisible by 12?
  11. 11.Is 169 divisible by 4?
  12. 12.Is 65256 divisible by 24?
  13. 13.Is 206850 divisible by 30?
  14. 14.Is 47207 divisible by 12?
  15. 15.Is 12008 divisible by 11?
  16. 16.Is 31115 divisible by 11?
  17. 17.Is 9054 divisible by 18?
  18. 18.Is 2245 divisible by 24?
  19. 19.Is 23255 divisible by 13?
  20. 20.Is 20585 divisible by 23?
  21. 21.Is 48228 divisible by 12?
  22. 22.Is 42527 divisible by 23?
  23. 23.Is 12018 divisible by 3?
  24. 24.Is 11283 divisible by 5?
  25. 25.Is 2251 divisible by 2?
  26. 26.Is 16236 divisible by 4?
  27. 27.Is 176807 divisible by 29?
  28. 28.Is 5389 divisible by 4?
  29. 29.Is 80734 divisible by 20?
  30. 30.Is 46893 divisible by 29?
  31. 31.Is 6520 divisible by 2?
  32. 32.Is 2193 divisible by 6?
  33. 33.Is 128441 divisible by 29?
  34. 34.Is 77871 divisible by 20?
  35. 35.Is 19839 divisible by 6?
  36. 36.Is 23256 divisible by 19?
  37. 37.Is 17680 divisible by 29?
  38. 38.Is 82441 divisible by 23?
  39. 39.Is 51696 divisible by 18?
  40. 40.Is 5992 divisible by 8?

Answer key

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

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