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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 951 · 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 12192 divisible by 12?
  2. 2.Is 8720 divisible by 15?
  3. 3.Is 12804 divisible by 2?
  4. 4.Is 15218 divisible by 7?
  5. 5.Is 11726 divisible by 4?
  6. 6.Is 10271 divisible by 4?
  7. 7.Is 2480 divisible by 4?
  8. 8.Is 4283 divisible by 4?
  9. 9.Is 106920 divisible by 30?
  10. 10.Is 3045 divisible by 15?
  11. 11.Is 120497 divisible by 23?
  12. 12.Is 8010 divisible by 10?
  13. 13.Is 69 divisible by 2?
  14. 14.Is 107192 divisible by 24?
  15. 15.Is 14060 divisible by 20?
  16. 16.Is 115620 divisible by 30?
  17. 17.Is 3924 divisible by 9?
  18. 18.Is 24622 divisible by 23?
  19. 19.Is 2100 divisible by 12?
  20. 20.Is 75253 divisible by 12?
  21. 21.Is 28350 divisible by 30?
  22. 22.Is 101616 divisible by 29?
  23. 23.Is 113409 divisible by 30?
  24. 24.Is 2469 divisible by 12?
  25. 25.Is 102706 divisible by 23?
  26. 26.Is 84732 divisible by 23?
  27. 27.Is 104420 divisible by 24?
  28. 28.Is 7865 divisible by 13?
  29. 29.Is 14409 divisible by 15?
  30. 30.Is 118987 divisible by 29?
  31. 31.Is 5000 divisible by 4?
  32. 32.Is 46349 divisible by 19?
  33. 33.Is 8740 divisible by 23?
  34. 34.Is 2828 divisible by 7?
  35. 35.Is 10828 divisible by 4?
  36. 36.Is 18954 divisible by 3?
  37. 37.Is 153183 divisible by 24?
  38. 38.Is 22721 divisible by 5?
  39. 39.Is 3395 divisible by 7?
  40. 40.Is 48762 divisible by 9?

Answer key

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

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