Q: What are the prime factors of the number 237,072,625?

 A: 5, 1896581

Why are those the prime factors of the number 237,072,625?

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 237,072,625

237,072,625
Factor Arrows
547,414,525
Factor Arrows
59,482,905
Factor Arrows
51,896,581

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:

5, 1896581

We can check our work by multiplying all of the prime factors together: 5 x 5 x 5 x 1,896,581 = 237,072,625

This can also be written as 53 x 1,896,5811 = 237,072,625

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


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