Q: What are the prime factors of the number 220,431,134?

 A: 2, 7, 11, 53, 113, 239

Why are those the prime factors of the number 220,431,134?

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 220,431,134

220,431,134
Factor Arrows
2110,215,567
Factor Arrows
715,745,081
Factor Arrows
111,431,371
Factor Arrows
5327,007
Factor Arrows
113239

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, 7, 11, 53, 113, 239

We can check our work by multiplying all of the prime factors together: 2 x 7 x 11 x 53 x 113 x 239 = 220,431,134

This can also be written as 21 x 71 x 111 x 531 x 1131 x 2391 = 220,431,134

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


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