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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 764 · 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 11832 divisible by 5?
  2. 2.Is 20483 divisible by 30?
  3. 3.Is 45133 divisible by 7?
  4. 4.Is 13650 divisible by 10?
  5. 5.Is 4024 divisible by 3?
  6. 6.Is 805 divisible by 6?
  7. 7.Is 51323 divisible by 17?
  8. 8.Is 14723 divisible by 11?
  9. 9.Is 18044 divisible by 20?
  10. 10.Is 21420 divisible by 4?
  11. 11.Is 19749 divisible by 29?
  12. 12.Is 1949 divisible by 4?
  13. 13.Is 112848 divisible by 24?
  14. 14.Is 132089 divisible by 23?
  15. 15.Is 9280 divisible by 9?
  16. 16.Is 13224 divisible by 2?
  17. 17.Is 109043 divisible by 23?
  18. 18.Is 17970 divisible by 18?
  19. 19.Is 11176 divisible by 19?
  20. 20.Is 6985 divisible by 8?
  21. 21.Is 71738 divisible by 15?
  22. 22.Is 21582 divisible by 9?
  23. 23.Is 127350 divisible by 30?
  24. 24.Is 100062 divisible by 18?
  25. 25.Is 47064 divisible by 10?
  26. 26.Is 46111 divisible by 13?
  27. 27.Is 111159 divisible by 19?
  28. 28.Is 14930 divisible by 15?
  29. 29.Is 101658 divisible by 19?
  30. 30.Is 77784 divisible by 24?
  31. 31.Is 79119 divisible by 19?
  32. 32.Is 16502 divisible by 19?
  33. 33.Is 192760 divisible by 29?
  34. 34.Is 63780 divisible by 10?
  35. 35.Is 57520 divisible by 20?
  36. 36.Is 52146 divisible by 9?
  37. 37.Is 19145 divisible by 7?
  38. 38.Is 76264 divisible by 11?
  39. 39.Is 1704 divisible by 2?
  40. 40.Is 1652 divisible by 2?

Answer key

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

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