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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 799 · 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 28301 divisible by 13?
  2. 2.Is 30510 divisible by 15?
  3. 3.Is 1230 divisible by 4?
  4. 4.Is 18104 divisible by 8?
  5. 5.Is 2159 divisible by 17?
  6. 6.Is 38692 divisible by 6?
  7. 7.Is 3181 divisible by 6?
  8. 8.Is 121213 divisible by 18?
  9. 9.Is 98676 divisible by 18?
  10. 10.Is 126986 divisible by 24?
  11. 11.Is 17550 divisible by 17?
  12. 12.Is 77083 divisible by 19?
  13. 13.Is 9670 divisible by 11?
  14. 14.Is 155904 divisible by 24?
  15. 15.Is 8262 divisible by 6?
  16. 16.Is 31860 divisible by 10?
  17. 17.Is 27378 divisible by 13?
  18. 18.Is 47736 divisible by 18?
  19. 19.Is 144325 divisible by 23?
  20. 20.Is 60349 divisible by 29?
  21. 21.Is 6530 divisible by 18?
  22. 22.Is 24200 divisible by 20?
  23. 23.Is 41301 divisible by 9?
  24. 24.Is 41000 divisible by 20?
  25. 25.Is 41919 divisible by 13?
  26. 26.Is 9513 divisible by 9?
  27. 27.Is 8204 divisible by 4?
  28. 28.Is 12342 divisible by 5?
  29. 29.Is 93630 divisible by 15?
  30. 30.Is 25933 divisible by 13?
  31. 31.Is 14139 divisible by 19?
  32. 32.Is 12567 divisible by 4?
  33. 33.Is 34032 divisible by 5?
  34. 34.Is 160582 divisible by 24?
  35. 35.Is 37210 divisible by 10?
  36. 36.Is 93721 divisible by 17?
  37. 37.Is 39886 divisible by 7?
  38. 38.Is 2460 divisible by 20?
  39. 39.Is 15059 divisible by 23?
  40. 40.Is 41399 divisible by 23?

Answer key

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

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