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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 274 · 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 47123 divisible by 23?
  2. 2.Is 19936 divisible by 24?
  3. 3.Is 55904 divisible by 24?
  4. 4.Is 58826 divisible by 12?
  5. 5.Is 148306 divisible by 29?
  6. 6.Is 51282 divisible by 17?
  7. 7.Is 56741 divisible by 10?
  8. 8.Is 152367 divisible by 29?
  9. 9.Is 1422 divisible by 9?
  10. 10.Is 58860 divisible by 10?
  11. 11.Is 27680 divisible by 5?
  12. 12.Is 2105 divisible by 2?
  13. 13.Is 43652 divisible by 7?
  14. 14.Is 19497 divisible by 5?
  15. 15.Is 46371 divisible by 29?
  16. 16.Is 90857 divisible by 13?
  17. 17.Is 160218 divisible by 23?
  18. 18.Is 80535 divisible by 13?
  19. 19.Is 16963 divisible by 12?
  20. 20.Is 133442 divisible by 29?
  21. 21.Is 9842 divisible by 19?
  22. 22.Is 46605 divisible by 15?
  23. 23.Is 2790 divisible by 3?
  24. 24.Is 42628 divisible by 24?
  25. 25.Is 57912 divisible by 19?
  26. 26.Is 25346 divisible by 23?
  27. 27.Is 25230 divisible by 10?
  28. 28.Is 25296 divisible by 4?
  29. 29.Is 6552 divisible by 2?
  30. 30.Is 112795 divisible by 30?
  31. 31.Is 11871 divisible by 6?
  32. 32.Is 52672 divisible by 11?
  33. 33.Is 178303 divisible by 30?
  34. 34.Is 11054 divisible by 3?
  35. 35.Is 11469 divisible by 3?
  36. 36.Is 9598 divisible by 10?
  37. 37.Is 3800 divisible by 3?
  38. 38.Is 33769 divisible by 18?
  39. 39.Is 123131 divisible by 20?
  40. 40.Is 19674 divisible by 24?

Answer key

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

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