Q: What are the prime factors of the number 473,555,232?

 A: 2, 3, 71, 23159

Why are those the prime factors of the number 473,555,232?

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 473,555,232

473,555,232
Factor Arrows
2236,777,616
Factor Arrows
2118,388,808
Factor Arrows
259,194,404
Factor Arrows
229,597,202
Factor Arrows
214,798,601
Factor Arrows
34,932,867
Factor Arrows
31,644,289
Factor Arrows
7123,159

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, 71, 23159

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 71 x 23,159 = 473,555,232

This can also be written as 25 x 32 x 711 x 23,1591 = 473,555,232

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


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