Q: What are the prime factors of the number 88,600,852?

 A: 2, 31, 409, 1747

Why are those the prime factors of the number 88,600,852?

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 88,600,852

88,600,852
Factor Arrows
244,300,426
Factor Arrows
222,150,213
Factor Arrows
31714,523
Factor Arrows
4091,747

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, 31, 409, 1747

We can check our work by multiplying all of the prime factors together: 2 x 2 x 31 x 409 x 1,747 = 88,600,852

This can also be written as 22 x 311 x 4091 x 1,7471 = 88,600,852

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


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