Q: What are the prime factors of the number 87,057,312?

 A: 2, 3, 906847

Why are those the prime factors of the number 87,057,312?

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 87,057,312

87,057,312
Factor Arrows
243,528,656
Factor Arrows
221,764,328
Factor Arrows
210,882,164
Factor Arrows
25,441,082
Factor Arrows
22,720,541
Factor Arrows
3906,847

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, 906847

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 906,847 = 87,057,312

This can also be written as 25 x 31 x 906,8471 = 87,057,312

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


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