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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 765 · 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 26178 divisible by 8?
  2. 2.Is 30311 divisible by 5?
  3. 3.Is 20310 divisible by 15?
  4. 4.Is 52839 divisible by 19?
  5. 5.Is 46883 divisible by 13?
  6. 6.Is 50270 divisible by 30?
  7. 7.Is 52260 divisible by 10?
  8. 8.Is 2719 divisible by 5?
  9. 9.Is 2232 divisible by 4?
  10. 10.Is 160940 divisible by 30?
  11. 11.Is 25968 divisible by 11?
  12. 12.Is 5917 divisible by 2?
  13. 13.Is 74308 divisible by 20?
  14. 14.Is 889 divisible by 5?
  15. 15.Is 31136 divisible by 6?
  16. 16.Is 5613 divisible by 7?
  17. 17.Is 39293 divisible by 12?
  18. 18.Is 4831 divisible by 5?
  19. 19.Is 13188 divisible by 4?
  20. 20.Is 4700 divisible by 2?
  21. 21.Is 109067 divisible by 23?
  22. 22.Is 24401 divisible by 8?
  23. 23.Is 37660 divisible by 7?
  24. 24.Is 110253 divisible by 20?
  25. 25.Is 98460 divisible by 15?
  26. 26.Is 48754 divisible by 19?
  27. 27.Is 13392 divisible by 18?
  28. 28.Is 184665 divisible by 29?
  29. 29.Is 107035 divisible by 18?
  30. 30.Is 11225 divisible by 5?
  31. 31.Is 11891 divisible by 23?
  32. 32.Is 107260 divisible by 20?
  33. 33.Is 63600 divisible by 12?
  34. 34.Is 26455 divisible by 11?
  35. 35.Is 14509 divisible by 7?
  36. 36.Is 85232 divisible by 13?
  37. 37.Is 42827 divisible by 7?
  38. 38.Is 5800 divisible by 9?
  39. 39.Is 130882 divisible by 30?
  40. 40.Is 3985 divisible by 4?

Answer key

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

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