What Are the Factors of 336?

The factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336.

Here is how you calculate the factors of 336. First, every number is divisible by itself and 1.

Try 1. 1 x 336 = 336, so put these into our factor list.
1 ... 336
Take 2. 2 x 168 = 336, which means we add these to our factor list.
1 2 ... 168 336
Now take 3. 3 x 112 = 336, so now we put these in our list of factors.
1 2 3 ... 112 168 336
Next try 4. 4 x 84 = 336, so we add these to our list of factors.
1 2 3 4 ... 84 112 168 336
Now try 5... nope! 336/5 isn't a whole number. So we skip 5.
Try 6. 6 x 56 = 336, which means we add these to our factor list.
1 2 3 4 6 ... 56 84 112 168 336
Take 7. 7 x 48 = 336, so now we put these in our list of factors.
1 2 3 4 6 7 ... 48 56 84 112 168 336
Now take 8. 8 x 42 = 336, so we add these to our list of factors.
1 2 3 4 6 7 8 ... 42 48 56 84 112 168 336
Next try 9... nope! 336/9 isn't a whole number. So we skip 9.
Now try 10... no good. 336/10 isn't a whole number. So we skip 10.
Try 11... no. 336/11 isn't a whole number. So we skip 11.
Take 12. 12 x 28 = 336, so we add these to our list of factors.
1 2 3 4 6 7 8 12 ... 28 42 48 56 84 112 168 336
Now take 13... nope! 336/13 isn't a whole number. So we skip 13.
Next try 14. 14 x 24 = 336, which means we add these to our factor list.
1 2 3 4 6 7 8 12 14 ... 24 28 42 48 56 84 112 168 336
Now try 15... no. 336/15 isn't a whole number. So we skip 15.
Try 16. 16 x 21 = 336, so we add these to our list of factors.
1 2 3 4 6 7 8 12 14 16 ... 21 24 28 42 48 56 84 112 168 336
Take 17... nope! 336/17 isn't a whole number. So we skip 17.
Now take 18... no good. 336/18 isn't a whole number. So we skip 18.
Now, since we don't have any more numbers to try, we're done!
1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336

What are the prime factors of 336? What is the prime factorization of 336?