Q: What are the prime factors of the number 7,237,312?

 A: 2, 113083

Why are those the prime factors of the number 7,237,312?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 7,237,312

7,237,312
Factor Arrows
23,618,656
Factor Arrows
21,809,328
Factor Arrows
2904,664
Factor Arrows
2452,332
Factor Arrows
2226,166
Factor Arrows
2113,083

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 113083

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 113,083 = 7,237,312

This can also be written as 26 x 113,0831 = 7,237,312

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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