Q: What are the prime factors of the number 138,720,476?

 A: 2, 17, 97, 21031

Why are those the prime factors of the number 138,720,476?

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 138,720,476

138,720,476
Factor Arrows
269,360,238
Factor Arrows
234,680,119
Factor Arrows
172,040,007
Factor Arrows
9721,031

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, 17, 97, 21031

We can check our work by multiplying all of the prime factors together: 2 x 2 x 17 x 97 x 21,031 = 138,720,476

This can also be written as 22 x 171 x 971 x 21,0311 = 138,720,476

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


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