Q: What are the prime factors of the number 27,676,428?

 A: 2, 3, 13, 31, 59, 97

Why are those the prime factors of the number 27,676,428?

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 27,676,428

27,676,428
Factor Arrows
213,838,214
Factor Arrows
26,919,107
Factor Arrows
32,306,369
Factor Arrows
13177,413
Factor Arrows
315,723
Factor Arrows
5997

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, 13, 31, 59, 97

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 13 x 31 x 59 x 97 = 27,676,428

This can also be written as 22 x 31 x 131 x 311 x 591 x 971 = 27,676,428

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


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