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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 826 · 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 21168 divisible by 12?
  2. 2.Is 7080 divisible by 12?
  3. 3.Is 16357 divisible by 30?
  4. 4.Is 15428 divisible by 7?
  5. 5.Is 9342 divisible by 6?
  6. 6.Is 107433 divisible by 23?
  7. 7.Is 16190 divisible by 13?
  8. 8.Is 8829 divisible by 5?
  9. 9.Is 42518 divisible by 7?
  10. 10.Is 30063 divisible by 6?
  11. 11.Is 76180 divisible by 17?
  12. 12.Is 73704 divisible by 11?
  13. 13.Is 83191 divisible by 23?
  14. 14.Is 9576 divisible by 7?
  15. 15.Is 3240 divisible by 10?
  16. 16.Is 2900 divisible by 4?
  17. 17.Is 4539 divisible by 8?
  18. 18.Is 45662 divisible by 17?
  19. 19.Is 53578 divisible by 12?
  20. 20.Is 58980 divisible by 15?
  21. 21.Is 12160 divisible by 20?
  22. 22.Is 29528 divisible by 8?
  23. 23.Is 20836 divisible by 6?
  24. 24.Is 22416 divisible by 6?
  25. 25.Is 65242 divisible by 11?
  26. 26.Is 1188 divisible by 6?
  27. 27.Is 3045 divisible by 6?
  28. 28.Is 30114 divisible by 6?
  29. 29.Is 15593 divisible by 6?
  30. 30.Is 34209 divisible by 9?
  31. 31.Is 31125 divisible by 15?
  32. 32.Is 9368 divisible by 7?
  33. 33.Is 118145 divisible by 20?
  34. 34.Is 9099 divisible by 9?
  35. 35.Is 42572 divisible by 29?
  36. 36.Is 23829 divisible by 9?
  37. 37.Is 36520 divisible by 20?
  38. 38.Is 15283 divisible by 8?
  39. 39.Is 24716 divisible by 4?
  40. 40.Is 20066 divisible by 3?

Answer key

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

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