Q: What are the prime factors of the number 3,045,252?

 A: 2, 3, 7, 5179

Why are those the prime factors of the number 3,045,252?

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 3,045,252

3,045,252
Factor Arrows
21,522,626
Factor Arrows
2761,313
Factor Arrows
3253,771
Factor Arrows
736,253
Factor Arrows
75,179

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, 7, 5179

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 7 x 5,179 = 3,045,252

This can also be written as 22 x 31 x 72 x 5,1791 = 3,045,252

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


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