Q: What are the prime factors of the number 55,047,708?

 A: 2, 3, 53, 59, 163

Why are those the prime factors of the number 55,047,708?

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 55,047,708

55,047,708
Factor Arrows
227,523,854
Factor Arrows
213,761,927
Factor Arrows
34,587,309
Factor Arrows
31,529,103
Factor Arrows
3509,701
Factor Arrows
539,617
Factor Arrows
59163

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, 3, 53, 59, 163

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 53 x 59 x 163 = 55,047,708

This can also be written as 22 x 33 x 531 x 591 x 1631 = 55,047,708

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


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