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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 415 · 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 14094 divisible by 3?
  2. 2.Is 375 divisible by 11?
  3. 3.Is 162355 divisible by 24?
  4. 4.Is 15310 divisible by 10?
  5. 5.Is 14962 divisible by 3?
  6. 6.Is 16825 divisible by 5?
  7. 7.Is 8230 divisible by 15?
  8. 8.Is 63052 divisible by 11?
  9. 9.Is 12355 divisible by 4?
  10. 10.Is 34218 divisible by 6?
  11. 11.Is 22890 divisible by 5?
  12. 12.Is 54284 divisible by 9?
  13. 13.Is 35705 divisible by 6?
  14. 14.Is 19657 divisible by 12?
  15. 15.Is 25821 divisible by 7?
  16. 16.Is 129718 divisible by 19?
  17. 17.Is 4721 divisible by 4?
  18. 18.Is 88254 divisible by 18?
  19. 19.Is 22314 divisible by 6?
  20. 20.Is 75562 divisible by 20?
  21. 21.Is 19320 divisible by 3?
  22. 22.Is 159570 divisible by 24?
  23. 23.Is 78937 divisible by 18?
  24. 24.Is 21420 divisible by 15?
  25. 25.Is 157290 divisible by 30?
  26. 26.Is 62127 divisible by 17?
  27. 27.Is 12912 divisible by 24?
  28. 28.Is 63609 divisible by 13?
  29. 29.Is 51780 divisible by 10?
  30. 30.Is 69590 divisible by 10?
  31. 31.Is 107049 divisible by 19?
  32. 32.Is 5123 divisible by 7?
  33. 33.Is 126247 divisible by 23?
  34. 34.Is 80802 divisible by 18?
  35. 35.Is 25053 divisible by 10?
  36. 36.Is 5683 divisible by 7?
  37. 37.Is 3276 divisible by 18?
  38. 38.Is 34966 divisible by 23?
  39. 39.Is 40220 divisible by 10?
  40. 40.Is 18630 divisible by 18?

Answer key

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

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