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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 625 · 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 69360 divisible by 17?
  2. 2.Is 2908 divisible by 3?
  3. 3.Is 46221 divisible by 13?
  4. 4.Is 54210 divisible by 20?
  5. 5.Is 18136 divisible by 4?
  6. 6.Is 51843 divisible by 11?
  7. 7.Is 86971 divisible by 29?
  8. 8.Is 3570 divisible by 3?
  9. 9.Is 54481 divisible by 13?
  10. 10.Is 120649 divisible by 18?
  11. 11.Is 63966 divisible by 10?
  12. 12.Is 88440 divisible by 15?
  13. 13.Is 11516 divisible by 17?
  14. 14.Is 2749 divisible by 13?
  15. 15.Is 44904 divisible by 8?
  16. 16.Is 567 divisible by 9?
  17. 17.Is 21195 divisible by 9?
  18. 18.Is 83467 divisible by 19?
  19. 19.Is 24484 divisible by 15?
  20. 20.Is 1881 divisible by 3?
  21. 21.Is 32212 divisible by 8?
  22. 22.Is 84095 divisible by 13?
  23. 23.Is 28380 divisible by 30?
  24. 24.Is 11160 divisible by 8?
  25. 25.Is 1019 divisible by 2?
  26. 26.Is 163980 divisible by 30?
  27. 27.Is 33364 divisible by 18?
  28. 28.Is 38370 divisible by 15?
  29. 29.Is 498 divisible by 6?
  30. 30.Is 8217 divisible by 11?
  31. 31.Is 32786 divisible by 9?
  32. 32.Is 98616 divisible by 17?
  33. 33.Is 199789 divisible by 29?
  34. 34.Is 19821 divisible by 3?
  35. 35.Is 88720 divisible by 18?
  36. 36.Is 2444 divisible by 2?
  37. 37.Is 3186 divisible by 2?
  38. 38.Is 84401 divisible by 20?
  39. 39.Is 14917 divisible by 8?
  40. 40.Is 27748 divisible by 4?

Answer key

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

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