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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 417 · 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 3486 divisible by 3?
  2. 2.Is 2222 divisible by 2?
  3. 3.Is 324 divisible by 6?
  4. 4.Is 186882 divisible by 30?
  5. 5.Is 165 divisible by 2?
  6. 6.Is 22152 divisible by 12?
  7. 7.Is 16418 divisible by 8?
  8. 8.Is 47200 divisible by 20?
  9. 9.Is 78020 divisible by 23?
  10. 10.Is 44370 divisible by 17?
  11. 11.Is 46949 divisible by 29?
  12. 12.Is 1227 divisible by 11?
  13. 13.Is 33475 divisible by 6?
  14. 14.Is 124 divisible by 4?
  15. 15.Is 130283 divisible by 19?
  16. 16.Is 63492 divisible by 12?
  17. 17.Is 16905 divisible by 5?
  18. 18.Is 10652 divisible by 2?
  19. 19.Is 15265 divisible by 8?
  20. 20.Is 2129 divisible by 2?
  21. 21.Is 164372 divisible by 29?
  22. 22.Is 29310 divisible by 5?
  23. 23.Is 2087 divisible by 12?
  24. 24.Is 25211 divisible by 7?
  25. 25.Is 14080 divisible by 20?
  26. 26.Is 112086 divisible by 18?
  27. 27.Is 31924 divisible by 23?
  28. 28.Is 7385 divisible by 7?
  29. 29.Is 16380 divisible by 7?
  30. 30.Is 157452 divisible by 30?
  31. 31.Is 20505 divisible by 13?
  32. 32.Is 10977 divisible by 3?
  33. 33.Is 25840 divisible by 5?
  34. 34.Is 31292 divisible by 5?
  35. 35.Is 66433 divisible by 30?
  36. 36.Is 4340 divisible by 20?
  37. 37.Is 165218 divisible by 30?
  38. 38.Is 36132 divisible by 8?
  39. 39.Is 33413 divisible by 8?
  40. 40.Is 185781 divisible by 30?

Answer key

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

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