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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 844 · 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 15314 divisible by 5?
  2. 2.Is 60090 divisible by 15?
  3. 3.Is 1427 divisible by 7?
  4. 4.Is 43558 divisible by 11?
  5. 5.Is 83787 divisible by 24?
  6. 6.Is 57129 divisible by 20?
  7. 7.Is 29600 divisible by 20?
  8. 8.Is 5326 divisible by 24?
  9. 9.Is 24872 divisible by 8?
  10. 10.Is 16162 divisible by 24?
  11. 11.Is 19696 divisible by 9?
  12. 12.Is 74977 divisible by 20?
  13. 13.Is 25912 divisible by 8?
  14. 14.Is 8096 divisible by 11?
  15. 15.Is 2983 divisible by 11?
  16. 16.Is 300 divisible by 6?
  17. 17.Is 1391 divisible by 6?
  18. 18.Is 72248 divisible by 11?
  19. 19.Is 9427 divisible by 5?
  20. 20.Is 27880 divisible by 8?
  21. 21.Is 53097 divisible by 11?
  22. 22.Is 16805 divisible by 5?
  23. 23.Is 759 divisible by 29?
  24. 24.Is 1636 divisible by 3?
  25. 25.Is 17250 divisible by 30?
  26. 26.Is 102500 divisible by 23?
  27. 27.Is 102549 divisible by 29?
  28. 28.Is 45443 divisible by 23?
  29. 29.Is 11694 divisible by 6?
  30. 30.Is 330 divisible by 10?
  31. 31.Is 10880 divisible by 18?
  32. 32.Is 1620 divisible by 4?
  33. 33.Is 200683 divisible by 30?
  34. 34.Is 128016 divisible by 24?
  35. 35.Is 119160 divisible by 18?
  36. 36.Is 38250 divisible by 9?
  37. 37.Is 1530 divisible by 2?
  38. 38.Is 47811 divisible by 19?
  39. 39.Is 68955 divisible by 12?
  40. 40.Is 45105 divisible by 7?

Answer key

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

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