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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 481 · 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 4005 divisible by 5?
  2. 2.Is 37485 divisible by 17?
  3. 3.Is 158723 divisible by 23?
  4. 4.Is 62105 divisible by 30?
  5. 5.Is 13487 divisible by 2?
  6. 6.Is 60244 divisible by 9?
  7. 7.Is 17733 divisible by 6?
  8. 8.Is 14120 divisible by 10?
  9. 9.Is 92394 divisible by 29?
  10. 10.Is 10191 divisible by 3?
  11. 11.Is 34366 divisible by 19?
  12. 12.Is 34686 divisible by 5?
  13. 13.Is 7853 divisible by 2?
  14. 14.Is 1770 divisible by 2?
  15. 15.Is 26612 divisible by 9?
  16. 16.Is 39428 divisible by 7?
  17. 17.Is 86991 divisible by 13?
  18. 18.Is 26383 divisible by 12?
  19. 19.Is 18658 divisible by 20?
  20. 20.Is 69117 divisible by 24?
  21. 21.Is 96417 divisible by 18?
  22. 22.Is 18254 divisible by 3?
  23. 23.Is 16840 divisible by 5?
  24. 24.Is 175914 divisible by 29?
  25. 25.Is 77188 divisible by 23?
  26. 26.Is 17201 divisible by 3?
  27. 27.Is 29590 divisible by 11?
  28. 28.Is 928 divisible by 2?
  29. 29.Is 18034 divisible by 7?
  30. 30.Is 7719 divisible by 3?
  31. 31.Is 32255 divisible by 7?
  32. 32.Is 16874 divisible by 8?
  33. 33.Is 30344 divisible by 8?
  34. 34.Is 12041 divisible by 8?
  35. 35.Is 12250 divisible by 2?
  36. 36.Is 88943 divisible by 29?
  37. 37.Is 16881 divisible by 5?
  38. 38.Is 34545 divisible by 5?
  39. 39.Is 55438 divisible by 17?
  40. 40.Is 984 divisible by 3?

Answer key

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

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