Q: What are the prime factors of the number 412,544,532?

 A: 2, 3, 379, 90709

Why are those the prime factors of the number 412,544,532?

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 412,544,532

412,544,532
Factor Arrows
2206,272,266
Factor Arrows
2103,136,133
Factor Arrows
334,378,711
Factor Arrows
37990,709

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, 379, 90709

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 379 x 90,709 = 412,544,532

This can also be written as 22 x 31 x 3791 x 90,7091 = 412,544,532

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


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