Q: What are the prime factors of the number 88,870,512?

 A: 2, 3, 1851469

Why are those the prime factors of the number 88,870,512?

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 88,870,512

88,870,512
Factor Arrows
244,435,256
Factor Arrows
222,217,628
Factor Arrows
211,108,814
Factor Arrows
25,554,407
Factor Arrows
31,851,469

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, 1851469

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 1,851,469 = 88,870,512

This can also be written as 24 x 31 x 1,851,4691 = 88,870,512

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


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