Q: What are the prime factors of the number 237,577,456?

 A: 2, 14848591

Why are those the prime factors of the number 237,577,456?

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 237,577,456

237,577,456
Factor Arrows
2118,788,728
Factor Arrows
259,394,364
Factor Arrows
229,697,182
Factor Arrows
214,848,591

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, 14848591

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 14,848,591 = 237,577,456

This can also be written as 24 x 14,848,5911 = 237,577,456

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


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