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What Are the Factors of 504?

The factors of 504 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504.

Getting 504's factors is done like this. First, every number is divisible by itself and 1.


  1. Try 1. 1 x 504 = 504, so put these into our factor list.
    1...504

  2. Take 2. 2 x 252 = 504, which means we add these to our factor list.
    12...252504

  3. Now take 3. 3 x 168 = 504, so now we put these in our list of factors.
    123...168252504

  4. Next try 4. 4 x 126 = 504, so we add these to our list of factors.
    1234...126168252504

  5. Now try 5... nope! 504/5 isn't a whole number. So we skip 5.

  6. Try 6. 6 x 84 = 504, which means we add these to our factor list.
    12346...84126168252504

  7. Take 7. 7 x 72 = 504, so now we put these in our list of factors.
    123467...7284126168252504

  8. Now take 8. 8 x 63 = 504, so we add these to our list of factors.
    1234678...637284126168252504

  9. Next try 9. 9 x 56 = 504, so put these into our factor list.
    12346789...56637284126168252504

  10. Now try 10... no good. 504/10 isn't a whole number. So we skip 10.

  11. Try 11... no. 504/11 isn't a whole number. So we skip 11.

  12. Take 12. 12 x 42 = 504, so we add these to our list of factors.
    1234678912...4256637284126168252504

  13. Now take 13... nope! 504/13 isn't a whole number. So we skip 13.

  14. Next try 14. 14 x 36 = 504, which means we add these to our factor list.
    123467891214...364256637284126168252504

  15. Now try 15... no. 504/15 isn't a whole number. So we skip 15.

  16. Try 16... no luck. 504/16 isn't a whole number. So we skip 16.

  17. Take 17... nope! 504/17 isn't a whole number. So we skip 17.

  18. Now take 18. 18 x 28 = 504, which means we add these to our factor list.
    12346789121418...28364256637284126168252504

  19. Next try 19... no. 504/19 isn't a whole number. So we skip 19.

  20. Now try 20... no luck. 504/20 isn't a whole number. So we skip 20.

  21. Try 21. 21 x 24 = 504, so put these into our factor list.
    1234678912141821...2428364256637284126168252504

  22. Take 22... no good. 504/22 isn't a whole number. So we skip 22.

  23. Now, since we don't have any more numbers to try, we're done!
    12346789121418212428364256637284126168252504


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Need help finding the factors of 504? It's easy! Here you go: the factors of 504 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21... | randytayler@gmail.com