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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 370 · 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 47263 divisible by 11?
  2. 2.Is 12042 divisible by 2?
  3. 3.Is 17181 divisible by 8?
  4. 4.Is 87257 divisible by 15?
  5. 5.Is 10413 divisible by 6?
  6. 6.Is 282 divisible by 3?
  7. 7.Is 6810 divisible by 10?
  8. 8.Is 10561 divisible by 3?
  9. 9.Is 15581 divisible by 18?
  10. 10.Is 11475 divisible by 2?
  11. 11.Is 24054 divisible by 6?
  12. 12.Is 43036 divisible by 29?
  13. 13.Is 10159 divisible by 3?
  14. 14.Is 126744 divisible by 19?
  15. 15.Is 13494 divisible by 6?
  16. 16.Is 21801 divisible by 15?
  17. 17.Is 25065 divisible by 5?
  18. 18.Is 95745 divisible by 15?
  19. 19.Is 14695 divisible by 6?
  20. 20.Is 816 divisible by 23?
  21. 21.Is 15063 divisible by 5?
  22. 22.Is 109720 divisible by 20?
  23. 23.Is 68155 divisible by 10?
  24. 24.Is 25376 divisible by 13?
  25. 25.Is 42154 divisible by 7?
  26. 26.Is 118827 divisible by 24?
  27. 27.Is 79356 divisible by 12?
  28. 28.Is 1485 divisible by 3?
  29. 29.Is 146223 divisible by 29?
  30. 30.Is 883 divisible by 4?
  31. 31.Is 19252 divisible by 15?
  32. 32.Is 20172 divisible by 24?
  33. 33.Is 44674 divisible by 7?
  34. 34.Is 7693 divisible by 2?
  35. 35.Is 34677 divisible by 9?
  36. 36.Is 2961 divisible by 7?
  37. 37.Is 119112 divisible by 24?
  38. 38.Is 48258 divisible by 18?
  39. 39.Is 138000 divisible by 30?
  40. 40.Is 96804 divisible by 18?

Answer key

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

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