Q: What are the prime factors of the number 431,235,232?

 A: 2, 131, 102871

Why are those the prime factors of the number 431,235,232?

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 431,235,232

431,235,232
Factor Arrows
2215,617,616
Factor Arrows
2107,808,808
Factor Arrows
253,904,404
Factor Arrows
226,952,202
Factor Arrows
213,476,101
Factor Arrows
131102,871

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, 131, 102871

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 131 x 102,871 = 431,235,232

This can also be written as 25 x 1311 x 102,8711 = 431,235,232

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


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