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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 618 · 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 2626 divisible by 13?
  2. 2.Is 205538 divisible by 30?
  3. 3.Is 84439 divisible by 19?
  4. 4.Is 14080 divisible by 11?
  5. 5.Is 121349 divisible by 20?
  6. 6.Is 7576 divisible by 4?
  7. 7.Is 26783 divisible by 17?
  8. 8.Is 65977 divisible by 17?
  9. 9.Is 5320 divisible by 4?
  10. 10.Is 93132 divisible by 18?
  11. 11.Is 36540 divisible by 15?
  12. 12.Is 7696 divisible by 13?
  13. 13.Is 3210 divisible by 10?
  14. 14.Is 89263 divisible by 23?
  15. 15.Is 15780 divisible by 6?
  16. 16.Is 58856 divisible by 15?
  17. 17.Is 11232 divisible by 12?
  18. 18.Is 11953 divisible by 4?
  19. 19.Is 34626 divisible by 29?
  20. 20.Is 51744 divisible by 12?
  21. 21.Is 12870 divisible by 6?
  22. 22.Is 14938 divisible by 29?
  23. 23.Is 16479 divisible by 8?
  24. 24.Is 32823 divisible by 20?
  25. 25.Is 1593 divisible by 3?
  26. 26.Is 4697 divisible by 13?
  27. 27.Is 30054 divisible by 6?
  28. 28.Is 33180 divisible by 10?
  29. 29.Is 52758 divisible by 19?
  30. 30.Is 95532 divisible by 17?
  31. 31.Is 57470 divisible by 11?
  32. 32.Is 31296 divisible by 7?
  33. 33.Is 161395 divisible by 24?
  34. 34.Is 12338 divisible by 13?
  35. 35.Is 54536 divisible by 19?
  36. 36.Is 15476 divisible by 3?
  37. 37.Is 17868 divisible by 6?
  38. 38.Is 129860 divisible by 20?
  39. 39.Is 68980 divisible by 20?
  40. 40.Is 37830 divisible by 10?

Answer key

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

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