Q: What are the prime factors of the number 672,042,536?

 A: 2, 11, 317, 24091

Why are those the prime factors of the number 672,042,536?

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 672,042,536

672,042,536
Factor Arrows
2336,021,268
Factor Arrows
2168,010,634
Factor Arrows
284,005,317
Factor Arrows
117,636,847
Factor Arrows
31724,091

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, 11, 317, 24091

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 11 x 317 x 24,091 = 672,042,536

This can also be written as 23 x 111 x 3171 x 24,0911 = 672,042,536

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


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