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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 806 · 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 70296 divisible by 12?
  2. 2.Is 83844 divisible by 18?
  3. 3.Is 33670 divisible by 5?
  4. 4.Is 16239 divisible by 18?
  5. 5.Is 132548 divisible by 23?
  6. 6.Is 2268 divisible by 3?
  7. 7.Is 6172 divisible by 4?
  8. 8.Is 2215 divisible by 3?
  9. 9.Is 46643 divisible by 17?
  10. 10.Is 50785 divisible by 15?
  11. 11.Is 5191 divisible by 7?
  12. 12.Is 58392 divisible by 9?
  13. 13.Is 84075 divisible by 30?
  14. 14.Is 151261 divisible by 30?
  15. 15.Is 18991 divisible by 7?
  16. 16.Is 22664 divisible by 15?
  17. 17.Is 40470 divisible by 19?
  18. 18.Is 55488 divisible by 8?
  19. 19.Is 98572 divisible by 19?
  20. 20.Is 27953 divisible by 9?
  21. 21.Is 18024 divisible by 4?
  22. 22.Is 47481 divisible by 17?
  23. 23.Is 38736 divisible by 6?
  24. 24.Is 23689 divisible by 15?
  25. 25.Is 8584 divisible by 6?
  26. 26.Is 1755 divisible by 9?
  27. 27.Is 11649 divisible by 3?
  28. 28.Is 9348 divisible by 3?
  29. 29.Is 80798 divisible by 18?
  30. 30.Is 14165 divisible by 4?
  31. 31.Is 30869 divisible by 7?
  32. 32.Is 20968 divisible by 4?
  33. 33.Is 171009 divisible by 29?
  34. 34.Is 196198 divisible by 30?
  35. 35.Is 5842 divisible by 4?
  36. 36.Is 102376 divisible by 20?
  37. 37.Is 8468 divisible by 3?
  38. 38.Is 4802 divisible by 3?
  39. 39.Is 35238 divisible by 12?
  40. 40.Is 42134 divisible by 9?

Answer key

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

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