Q: What are the prime factors of the number 234,326,604?

 A: 2, 3, 67, 379, 769

Why are those the prime factors of the number 234,326,604?

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 234,326,604

234,326,604
Factor Arrows
2117,163,302
Factor Arrows
258,581,651
Factor Arrows
319,527,217
Factor Arrows
67291,451
Factor Arrows
379769

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, 67, 379, 769

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 67 x 379 x 769 = 234,326,604

This can also be written as 22 x 31 x 671 x 3791 x 7691 = 234,326,604

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


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