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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 147 · 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 159137 divisible by 23?
  2. 2.Is 54998 divisible by 9?
  3. 3.Is 87998 divisible by 23?
  4. 4.Is 156096 divisible by 24?
  5. 5.Is 55536 divisible by 9?
  6. 6.Is 5416 divisible by 4?
  7. 7.Is 13652 divisible by 11?
  8. 8.Is 86317 divisible by 15?
  9. 9.Is 90336 divisible by 24?
  10. 10.Is 13399 divisible by 8?
  11. 11.Is 12463 divisible by 2?
  12. 12.Is 87776 divisible by 13?
  13. 13.Is 111316 divisible by 17?
  14. 14.Is 28323 divisible by 9?
  15. 15.Is 121230 divisible by 18?
  16. 16.Is 7141 divisible by 3?
  17. 17.Is 39161 divisible by 6?
  18. 18.Is 4818 divisible by 10?
  19. 19.Is 12392 divisible by 6?
  20. 20.Is 2780 divisible by 5?
  21. 21.Is 145680 divisible by 30?
  22. 22.Is 30780 divisible by 18?
  23. 23.Is 4480 divisible by 2?
  24. 24.Is 10014 divisible by 19?
  25. 25.Is 168260 divisible by 30?
  26. 26.Is 55888 divisible by 13?
  27. 27.Is 22338 divisible by 9?
  28. 28.Is 10632 divisible by 4?
  29. 29.Is 93648 divisible by 20?
  30. 30.Is 223 divisible by 9?
  31. 31.Is 76246 divisible by 17?
  32. 32.Is 41199 divisible by 8?
  33. 33.Is 13925 divisible by 5?
  34. 34.Is 4807 divisible by 2?
  35. 35.Is 49406 divisible by 8?
  36. 36.Is 115273 divisible by 19?
  37. 37.Is 43140 divisible by 10?
  38. 38.Is 76785 divisible by 15?
  39. 39.Is 22524 divisible by 4?
  40. 40.Is 23330 divisible by 24?

Answer key

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

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