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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 393 · 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 163416 divisible by 24?
  2. 2.Is 126020 divisible by 20?
  3. 3.Is 15324 divisible by 12?
  4. 4.Is 9614 divisible by 2?
  5. 5.Is 42581 divisible by 9?
  6. 6.Is 79589 divisible by 18?
  7. 7.Is 77318 divisible by 18?
  8. 8.Is 8674 divisible by 2?
  9. 9.Is 28879 divisible by 12?
  10. 10.Is 71579 divisible by 12?
  11. 11.Is 57625 divisible by 13?
  12. 12.Is 16006 divisible by 10?
  13. 13.Is 3788 divisible by 4?
  14. 14.Is 1760 divisible by 11?
  15. 15.Is 6657 divisible by 7?
  16. 16.Is 2413 divisible by 6?
  17. 17.Is 6565 divisible by 2?
  18. 18.Is 47742 divisible by 24?
  19. 19.Is 42480 divisible by 9?
  20. 20.Is 83034 divisible by 18?
  21. 21.Is 26400 divisible by 7?
  22. 22.Is 10754 divisible by 8?
  23. 23.Is 13514 divisible by 3?
  24. 24.Is 24390 divisible by 30?
  25. 25.Is 33656 divisible by 8?
  26. 26.Is 5505 divisible by 15?
  27. 27.Is 146940 divisible by 30?
  28. 28.Is 122000 divisible by 20?
  29. 29.Is 25263 divisible by 17?
  30. 30.Is 91080 divisible by 24?
  31. 31.Is 30483 divisible by 9?
  32. 32.Is 78552 divisible by 13?
  33. 33.Is 31248 divisible by 18?
  34. 34.Is 7499 divisible by 2?
  35. 35.Is 28000 divisible by 6?
  36. 36.Is 47736 divisible by 9?
  37. 37.Is 65163 divisible by 10?
  38. 38.Is 13188 divisible by 17?
  39. 39.Is 34151 divisible by 8?
  40. 40.Is 131960 divisible by 20?

Answer key

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

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