Q: What are the prime factors of the number 237,624,416?

 A: 2, 79, 93997

Why are those the prime factors of the number 237,624,416?

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 237,624,416

237,624,416
Factor Arrows
2118,812,208
Factor Arrows
259,406,104
Factor Arrows
229,703,052
Factor Arrows
214,851,526
Factor Arrows
27,425,763
Factor Arrows
7993,997

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, 79, 93997

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 79 x 93,997 = 237,624,416

This can also be written as 25 x 791 x 93,9971 = 237,624,416

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


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