Q: What are the prime factors of the number 524,521,330?

 A: 2, 5, 557, 94169

Why are those the prime factors of the number 524,521,330?

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 524,521,330

524,521,330
Factor Arrows
2262,260,665
Factor Arrows
552,452,133
Factor Arrows
55794,169

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, 5, 557, 94169

We can check our work by multiplying all of the prime factors together: 2 x 5 x 557 x 94,169 = 524,521,330

This can also be written as 21 x 51 x 5571 x 94,1691 = 524,521,330

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


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