Q: What are the prime factors of the number 5,855,412?

 A: 2, 3, 17, 28703

Why are those the prime factors of the number 5,855,412?

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 5,855,412

5,855,412
Factor Arrows
22,927,706
Factor Arrows
21,463,853
Factor Arrows
3487,951
Factor Arrows
1728,703

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, 17, 28703

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 17 x 28,703 = 5,855,412

This can also be written as 22 x 31 x 171 x 28,7031 = 5,855,412

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


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