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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 195 · 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 45911 divisible by 18?
  2. 2.Is 4605 divisible by 15?
  3. 3.Is 11135 divisible by 29?
  4. 4.Is 68343 divisible by 29?
  5. 5.Is 153091 divisible by 29?
  6. 6.Is 58916 divisible by 13?
  7. 7.Is 1636 divisible by 4?
  8. 8.Is 150990 divisible by 30?
  9. 9.Is 14270 divisible by 3?
  10. 10.Is 128201 divisible by 19?
  11. 11.Is 25475 divisible by 10?
  12. 12.Is 3821 divisible by 4?
  13. 13.Is 65112 divisible by 12?
  14. 14.Is 13173 divisible by 2?
  15. 15.Is 16762 divisible by 3?
  16. 16.Is 37669 divisible by 13?
  17. 17.Is 9187 divisible by 2?
  18. 18.Is 113427 divisible by 18?
  19. 19.Is 18768 divisible by 24?
  20. 20.Is 7010 divisible by 2?
  21. 21.Is 63985 divisible by 11?
  22. 22.Is 1638 divisible by 7?
  23. 23.Is 13112 divisible by 5?
  24. 24.Is 5264 divisible by 8?
  25. 25.Is 1788 divisible by 3?
  26. 26.Is 57442 divisible by 11?
  27. 27.Is 14046 divisible by 6?
  28. 28.Is 58030 divisible by 10?
  29. 29.Is 39046 divisible by 7?
  30. 30.Is 149151 divisible by 24?
  31. 31.Is 170164 divisible by 30?
  32. 32.Is 32567 divisible by 29?
  33. 33.Is 1129 divisible by 9?
  34. 34.Is 32010 divisible by 6?
  35. 35.Is 39482 divisible by 10?
  36. 36.Is 3858 divisible by 2?
  37. 37.Is 1620 divisible by 3?
  38. 38.Is 2880 divisible by 9?
  39. 39.Is 92340 divisible by 18?
  40. 40.Is 12240 divisible by 3?

Answer key

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

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