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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 829 · 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 6545 divisible by 17?
  2. 2.Is 6530 divisible by 5?
  3. 3.Is 56 divisible by 2?
  4. 4.Is 20440 divisible by 3?
  5. 5.Is 62692 divisible by 20?
  6. 6.Is 35665 divisible by 7?
  7. 7.Is 10809 divisible by 3?
  8. 8.Is 12950 divisible by 10?
  9. 9.Is 22169 divisible by 7?
  10. 10.Is 8442 divisible by 6?
  11. 11.Is 22648 divisible by 5?
  12. 12.Is 31800 divisible by 30?
  13. 13.Is 76450 divisible by 11?
  14. 14.Is 89048 divisible by 15?
  15. 15.Is 6088 divisible by 8?
  16. 16.Is 5341 divisible by 7?
  17. 17.Is 129352 divisible by 23?
  18. 18.Is 78002 divisible by 15?
  19. 19.Is 12340 divisible by 3?
  20. 20.Is 7407 divisible by 3?
  21. 21.Is 69533 divisible by 10?
  22. 22.Is 12150 divisible by 9?
  23. 23.Is 3588 divisible by 2?
  24. 24.Is 11388 divisible by 3?
  25. 25.Is 95895 divisible by 15?
  26. 26.Is 44316 divisible by 12?
  27. 27.Is 12272 divisible by 3?
  28. 28.Is 4548 divisible by 4?
  29. 29.Is 104935 divisible by 20?
  30. 30.Is 8300 divisible by 5?
  31. 31.Is 18479 divisible by 17?
  32. 32.Is 29777 divisible by 11?
  33. 33.Is 23751 divisible by 6?
  34. 34.Is 4562 divisible by 2?
  35. 35.Is 9160 divisible by 10?
  36. 36.Is 149940 divisible by 24?
  37. 37.Is 45941 divisible by 8?
  38. 38.Is 12019 divisible by 3?
  39. 39.Is 13959 divisible by 11?
  40. 40.Is 23284 divisible by 9?

Answer key

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

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