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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 214 · 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 8575 divisible by 8?
  2. 2.Is 3846 divisible by 2?
  3. 3.Is 50576 divisible by 8?
  4. 4.Is 52648 divisible by 8?
  5. 5.Is 21351 divisible by 11?
  6. 6.Is 52649 divisible by 29?
  7. 7.Is 10703 divisible by 17?
  8. 8.Is 41049 divisible by 17?
  9. 9.Is 11763 divisible by 18?
  10. 10.Is 53507 divisible by 23?
  11. 11.Is 4427 divisible by 2?
  12. 12.Is 93676 divisible by 19?
  13. 13.Is 167999 divisible by 30?
  14. 14.Is 10840 divisible by 12?
  15. 15.Is 27280 divisible by 13?
  16. 16.Is 96008 divisible by 15?
  17. 17.Is 94501 divisible by 19?
  18. 18.Is 18957 divisible by 3?
  19. 19.Is 11667 divisible by 2?
  20. 20.Is 6300 divisible by 7?
  21. 21.Is 3310 divisible by 3?
  22. 22.Is 25072 divisible by 5?
  23. 23.Is 31664 divisible by 7?
  24. 24.Is 718 divisible by 4?
  25. 25.Is 47891 divisible by 13?
  26. 26.Is 12755 divisible by 20?
  27. 27.Is 1591 divisible by 3?
  28. 28.Is 95552 divisible by 18?
  29. 29.Is 97785 divisible by 15?
  30. 30.Is 11035 divisible by 2?
  31. 31.Is 111822 divisible by 30?
  32. 32.Is 198599 divisible by 30?
  33. 33.Is 40522 divisible by 10?
  34. 34.Is 64918 divisible by 19?
  35. 35.Is 35286 divisible by 6?
  36. 36.Is 27082 divisible by 4?
  37. 37.Is 10440 divisible by 24?
  38. 38.Is 20330 divisible by 19?
  39. 39.Is 12008 divisible by 24?
  40. 40.Is 162785 divisible by 24?

Answer key

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

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