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What Are the Factors of 315?

The factors of 315 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315.

Calcating the factors of 315 is straightforward. 1 and 315 are the first two factors.


  1. Try 1. 1 x 315 = 315, so put these into our factor list.
    1...315

  2. Take 2... no good. 315/2 isn't a whole number. So we skip 2.

  3. Now take 3. 3 x 105 = 315, so now we put these in our list of factors.
    13...105315

  4. Next try 4... no luck. 315/4 isn't a whole number. So we skip 4.

  5. Now try 5. 5 x 63 = 315, so put these into our factor list.
    135...63105315

  6. Try 6... no good. 315/6 isn't a whole number. So we skip 6.

  7. Take 7. 7 x 45 = 315, so now we put these in our list of factors.
    1357...4563105315

  8. Now take 8... no luck. 315/8 isn't a whole number. So we skip 8.

  9. Next try 9. 9 x 35 = 315, so put these into our factor list.
    13579...354563105315

  10. Now try 10... no good. 315/10 isn't a whole number. So we skip 10.

  11. Try 11... no. 315/11 isn't a whole number. So we skip 11.

  12. Take 12... no luck. 315/12 isn't a whole number. So we skip 12.

  13. Now take 13... nope! 315/13 isn't a whole number. So we skip 13.

  14. Next try 14... no good. 315/14 isn't a whole number. So we skip 14.

  15. Now try 15. 15 x 21 = 315, so now we put these in our list of factors.
    1357915...21354563105315

  16. Try 16... no luck. 315/16 isn't a whole number. So we skip 16.

  17. Take 17... nope! 315/17 isn't a whole number. So we skip 17.

  18. Now take 18... no good. 315/18 isn't a whole number. So we skip 18.

  19. Now, since we don't have any more numbers to try, we're done!
    135791521354563105315


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Need help finding the factors of 315? It's easy! Here you go: the factors of 315 are 1, 3, 5, 7, 9, 15... | randytayler@gmail.com