SOLUTION: how to factor 72 into a product of prime factors?

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Question 975880: how to factor 72 into a product of prime factors?


Found 2 solutions by Edwin McCravy, Shin123:
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
Make a factor tree.  Break an integer into the product of two
smaller integers.  Stop when you can't do that anymore. Then
put all the "dead ends" together: 

Break 72 into 9×8
Break 9 into 3×3 and 8 into 2×4
Break 4 into 2×2.

                         72
                       /    \
                      9   ×  8
                     / \    / \ 
                    3 × 3  2 × 4
                              / \  
                             2 × 2

72 = 3×3×2×2×2 = 32×23

Edwin

Answer by Shin123(626)   (Show Source): You can put this solution on YOUR website!
You have to make a factor tree. Keep factoring until you get to a “dead end”.
72
/ \
9 8
/ \ / \
3 3 2 4
/ \
2 2
Now you multiply all the “dead ends” and you will get 72.
check: 3*3*2*2*2 9*2*2*2 9*8=72 Correct.

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