Q: What are the prime factors of the number 87,876,912?

 A: 2, 3, 139, 13171

Why are those the prime factors of the number 87,876,912?

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 87,876,912

87,876,912
Factor Arrows
243,938,456
Factor Arrows
221,969,228
Factor Arrows
210,984,614
Factor Arrows
25,492,307
Factor Arrows
31,830,769
Factor Arrows
13913,171

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, 139, 13171

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 139 x 13,171 = 87,876,912

This can also be written as 24 x 31 x 1391 x 13,1711 = 87,876,912

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


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