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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 29 · 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 163317 divisible by 24?
  2. 2.Is 60307 divisible by 13?
  3. 3.Is 18675 divisible by 15?
  4. 4.Is 74844 divisible by 11?
  5. 5.Is 16814 divisible by 7?
  6. 6.Is 22580 divisible by 11?
  7. 7.Is 106749 divisible by 29?
  8. 8.Is 50237 divisible by 23?
  9. 9.Is 157702 divisible by 29?
  10. 10.Is 16346 divisible by 11?
  11. 11.Is 15527 divisible by 3?
  12. 12.Is 749 divisible by 5?
  13. 13.Is 14381 divisible by 12?
  14. 14.Is 2113 divisible by 2?
  15. 15.Is 58780 divisible by 10?
  16. 16.Is 21460 divisible by 10?
  17. 17.Is 20235 divisible by 9?
  18. 18.Is 7840 divisible by 3?
  19. 19.Is 39384 divisible by 6?
  20. 20.Is 52944 divisible by 24?
  21. 21.Is 2772 divisible by 18?
  22. 22.Is 24472 divisible by 19?
  23. 23.Is 59220 divisible by 9?
  24. 24.Is 49163 divisible by 12?
  25. 25.Is 52050 divisible by 30?
  26. 26.Is 107304 divisible by 19?
  27. 27.Is 117110 divisible by 20?
  28. 28.Is 12829 divisible by 2?
  29. 29.Is 65352 divisible by 12?
  30. 30.Is 120995 divisible by 24?
  31. 31.Is 25406 divisible by 6?
  32. 32.Is 54807 divisible by 11?
  33. 33.Is 18811 divisible by 13?
  34. 34.Is 62743 divisible by 19?
  35. 35.Is 33855 divisible by 8?
  36. 36.Is 17343 divisible by 7?
  37. 37.Is 24030 divisible by 10?
  38. 38.Is 13818 divisible by 7?
  39. 39.Is 10114 divisible by 18?
  40. 40.Is 201815 divisible by 29?

Answer key

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

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