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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 841 · 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 130247 divisible by 19?
  2. 2.Is 77618 divisible by 12?
  3. 3.Is 23116 divisible by 4?
  4. 4.Is 68813 divisible by 13?
  5. 5.Is 15000 divisible by 6?
  6. 6.Is 73875 divisible by 15?
  7. 7.Is 2796 divisible by 2?
  8. 8.Is 35639 divisible by 20?
  9. 9.Is 46230 divisible by 23?
  10. 10.Is 108319 divisible by 30?
  11. 11.Is 26073 divisible by 6?
  12. 12.Is 9159 divisible by 5?
  13. 13.Is 2880 divisible by 9?
  14. 14.Is 98884 divisible by 15?
  15. 15.Is 59360 divisible by 30?
  16. 16.Is 17469 divisible by 9?
  17. 17.Is 7579 divisible by 6?
  18. 18.Is 99120 divisible by 24?
  19. 19.Is 22420 divisible by 10?
  20. 20.Is 11165 divisible by 15?
  21. 21.Is 36900 divisible by 15?
  22. 22.Is 18536 divisible by 8?
  23. 23.Is 34883 divisible by 30?
  24. 24.Is 17120 divisible by 10?
  25. 25.Is 130479 divisible by 23?
  26. 26.Is 39816 divisible by 7?
  27. 27.Is 16394 divisible by 5?
  28. 28.Is 13870 divisible by 3?
  29. 29.Is 4673 divisible by 3?
  30. 30.Is 53874 divisible by 9?
  31. 31.Is 44328 divisible by 8?
  32. 32.Is 6921 divisible by 19?
  33. 33.Is 6435 divisible by 5?
  34. 34.Is 6397 divisible by 2?
  35. 35.Is 16151 divisible by 4?
  36. 36.Is 32616 divisible by 18?
  37. 37.Is 5185 divisible by 5?
  38. 38.Is 23050 divisible by 8?
  39. 39.Is 26044 divisible by 17?
  40. 40.Is 17850 divisible by 30?

Answer key

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

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