Q: What are the prime factors of the number 88,214,502?

 A: 2, 3, 151, 97367

Why are those the prime factors of the number 88,214,502?

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 88,214,502

88,214,502
Factor Arrows
244,107,251
Factor Arrows
314,702,417
Factor Arrows
15197,367

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, 151, 97367

We can check our work by multiplying all of the prime factors together: 2 x 3 x 151 x 97,367 = 88,214,502

This can also be written as 21 x 31 x 1511 x 97,3671 = 88,214,502

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


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