Q: What are the prime factors of the number 55,672,330?

 A: 2, 5, 7, 16231

Why are those the prime factors of the number 55,672,330?

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 55,672,330

55,672,330
Factor Arrows
227,836,165
Factor Arrows
55,567,233
Factor Arrows
7795,319
Factor Arrows
7113,617
Factor Arrows
716,231

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, 5, 7, 16231

We can check our work by multiplying all of the prime factors together: 2 x 5 x 7 x 7 x 7 x 16,231 = 55,672,330

This can also be written as 21 x 51 x 73 x 16,2311 = 55,672,330

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


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