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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 776 · 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 41837 divisible by 19?
  2. 2.Is 96888 divisible by 30?
  3. 3.Is 102043 divisible by 23?
  4. 4.Is 52670 divisible by 13?
  5. 5.Is 21915 divisible by 19?
  6. 6.Is 78706 divisible by 29?
  7. 7.Is 5819 divisible by 3?
  8. 8.Is 12710 divisible by 10?
  9. 9.Is 122471 divisible by 18?
  10. 10.Is 17608 divisible by 4?
  11. 11.Is 17972 divisible by 10?
  12. 12.Is 44434 divisible by 8?
  13. 13.Is 12690 divisible by 3?
  14. 14.Is 85209 divisible by 13?
  15. 15.Is 9865 divisible by 2?
  16. 16.Is 115038 divisible by 18?
  17. 17.Is 1000 divisible by 4?
  18. 18.Is 18189 divisible by 13?
  19. 19.Is 94666 divisible by 20?
  20. 20.Is 3356 divisible by 2?
  21. 21.Is 33045 divisible by 6?
  22. 22.Is 6155 divisible by 12?
  23. 23.Is 19218 divisible by 8?
  24. 24.Is 117252 divisible by 18?
  25. 25.Is 33454 divisible by 5?
  26. 26.Is 4626 divisible by 6?
  27. 27.Is 39312 divisible by 17?
  28. 28.Is 9135 divisible by 15?
  29. 29.Is 5931 divisible by 3?
  30. 30.Is 3409 divisible by 2?
  31. 31.Is 51846 divisible by 11?
  32. 32.Is 151652 divisible by 24?
  33. 33.Is 61416 divisible by 12?
  34. 34.Is 13358 divisible by 18?
  35. 35.Is 55476 divisible by 9?
  36. 36.Is 10482 divisible by 6?
  37. 37.Is 63576 divisible by 24?
  38. 38.Is 11250 divisible by 3?
  39. 39.Is 44172 divisible by 18?
  40. 40.Is 28451 divisible by 5?

Answer key

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

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