Q: What are the prime factors of the number 2,497,312?

 A: 2, 78041

Why are those the prime factors of the number 2,497,312?

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 2,497,312

2,497,312
Factor Arrows
21,248,656
Factor Arrows
2624,328
Factor Arrows
2312,164
Factor Arrows
2156,082
Factor Arrows
278,041

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, 78041

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 78,041 = 2,497,312

This can also be written as 25 x 78,0411 = 2,497,312

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


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