Q: What are the prime factors of the number 55,745,416?

 A: 2, 401, 17377

Why are those the prime factors of the number 55,745,416?

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 55,745,416

55,745,416
Factor Arrows
227,872,708
Factor Arrows
213,936,354
Factor Arrows
26,968,177
Factor Arrows
40117,377

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, 401, 17377

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 401 x 17,377 = 55,745,416

This can also be written as 23 x 4011 x 17,3771 = 55,745,416

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


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