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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 467 · 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 11080 divisible by 10?
  2. 2.Is 12743 divisible by 2?
  3. 3.Is 111758 divisible by 19?
  4. 4.Is 60001 divisible by 17?
  5. 5.Is 10380 divisible by 3?
  6. 6.Is 22064 divisible by 6?
  7. 7.Is 32220 divisible by 12?
  8. 8.Is 82445 divisible by 19?
  9. 9.Is 30743 divisible by 8?
  10. 10.Is 27376 divisible by 13?
  11. 11.Is 5263 divisible by 3?
  12. 12.Is 11836 divisible by 4?
  13. 13.Is 11639 divisible by 5?
  14. 14.Is 4661 divisible by 4?
  15. 15.Is 50459 divisible by 13?
  16. 16.Is 37992 divisible by 8?
  17. 17.Is 81558 divisible by 23?
  18. 18.Is 128310 divisible by 30?
  19. 19.Is 13061 divisible by 10?
  20. 20.Is 21966 divisible by 9?
  21. 21.Is 14805 divisible by 7?
  22. 22.Is 19537 divisible by 7?
  23. 23.Is 28766 divisible by 19?
  24. 24.Is 22538 divisible by 7?
  25. 25.Is 24203 divisible by 5?
  26. 26.Is 46139 divisible by 29?
  27. 27.Is 8910 divisible by 5?
  28. 28.Is 21745 divisible by 20?
  29. 29.Is 23232 divisible by 24?
  30. 30.Is 42696 divisible by 8?
  31. 31.Is 14485 divisible by 5?
  32. 32.Is 9483 divisible by 17?
  33. 33.Is 29154 divisible by 7?
  34. 34.Is 90413 divisible by 17?
  35. 35.Is 128839 divisible by 19?
  36. 36.Is 32238 divisible by 18?
  37. 37.Is 15120 divisible by 24?
  38. 38.Is 40040 divisible by 17?
  39. 39.Is 11980 divisible by 9?
  40. 40.Is 108205 divisible by 19?

Answer key

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

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