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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 830 · 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 33046 divisible by 13?
  2. 2.Is 71093 divisible by 11?
  3. 3.Is 6715 divisible by 5?
  4. 4.Is 17787 divisible by 7?
  5. 5.Is 34446 divisible by 5?
  6. 6.Is 19740 divisible by 12?
  7. 7.Is 121581 divisible by 19?
  8. 8.Is 100815 divisible by 15?
  9. 9.Is 12804 divisible by 6?
  10. 10.Is 158970 divisible by 30?
  11. 11.Is 189630 divisible by 30?
  12. 12.Is 1900 divisible by 2?
  13. 13.Is 150600 divisible by 24?
  14. 14.Is 157729 divisible by 24?
  15. 15.Is 60895 divisible by 19?
  16. 16.Is 16099 divisible by 3?
  17. 17.Is 24386 divisible by 4?
  18. 18.Is 149520 divisible by 24?
  19. 19.Is 122200 divisible by 20?
  20. 20.Is 1680 divisible by 24?
  21. 21.Is 105072 divisible by 24?
  22. 22.Is 14956 divisible by 13?
  23. 23.Is 882 divisible by 18?
  24. 24.Is 8463 divisible by 5?
  25. 25.Is 86706 divisible by 18?
  26. 26.Is 16394 divisible by 7?
  27. 27.Is 8937 divisible by 2?
  28. 28.Is 33968 divisible by 6?
  29. 29.Is 48502 divisible by 10?
  30. 30.Is 1451 divisible by 2?
  31. 31.Is 17664 divisible by 4?
  32. 32.Is 31300 divisible by 10?
  33. 33.Is 29440 divisible by 7?
  34. 34.Is 44289 divisible by 12?
  35. 35.Is 103152 divisible by 24?
  36. 36.Is 14630 divisible by 5?
  37. 37.Is 200680 divisible by 29?
  38. 38.Is 13121 divisible by 10?
  39. 39.Is 2437 divisible by 4?
  40. 40.Is 6079 divisible by 4?

Answer key

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

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