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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 639 · 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 17460 divisible by 10?
  2. 2.Is 3200 divisible by 10?
  3. 3.Is 23168 divisible by 11?
  4. 4.Is 62417 divisible by 11?
  5. 5.Is 23375 divisible by 11?
  6. 6.Is 132077 divisible by 30?
  7. 7.Is 81662 divisible by 19?
  8. 8.Is 25165 divisible by 23?
  9. 9.Is 2199 divisible by 2?
  10. 10.Is 17040 divisible by 6?
  11. 11.Is 118715 divisible by 24?
  12. 12.Is 94125 divisible by 15?
  13. 13.Is 4977 divisible by 8?
  14. 14.Is 132780 divisible by 30?
  15. 15.Is 34243 divisible by 18?
  16. 16.Is 13875 divisible by 5?
  17. 17.Is 25060 divisible by 4?
  18. 18.Is 10660 divisible by 4?
  19. 19.Is 27677 divisible by 12?
  20. 20.Is 66274 divisible by 29?
  21. 21.Is 18984 divisible by 5?
  22. 22.Is 71782 divisible by 24?
  23. 23.Is 4059 divisible by 17?
  24. 24.Is 248 divisible by 8?
  25. 25.Is 25665 divisible by 29?
  26. 26.Is 45726 divisible by 11?
  27. 27.Is 23269 divisible by 4?
  28. 28.Is 13962 divisible by 2?
  29. 29.Is 297 divisible by 4?
  30. 30.Is 28790 divisible by 5?
  31. 31.Is 48537 divisible by 9?
  32. 32.Is 29811 divisible by 17?
  33. 33.Is 15034 divisible by 12?
  34. 34.Is 57649 divisible by 23?
  35. 35.Is 41786 divisible by 24?
  36. 36.Is 20064 divisible by 7?
  37. 37.Is 28420 divisible by 20?
  38. 38.Is 28871 divisible by 10?
  39. 39.Is 5092 divisible by 9?
  40. 40.Is 13190 divisible by 9?

Answer key

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

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