Q: What are the prime factors of the number 375,570,239?

 A: 11, 17, 31, 37, 103

Why are those the prime factors of the number 375,570,239?

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 375,570,239

375,570,239
Factor Arrows
1134,142,749
Factor Arrows
172,008,397
Factor Arrows
17118,141
Factor Arrows
313,811
Factor Arrows
37103

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:

11, 17, 31, 37, 103

We can check our work by multiplying all of the prime factors together: 11 x 17 x 17 x 31 x 37 x 103 = 375,570,239

This can also be written as 111 x 172 x 311 x 371 x 1031 = 375,570,239

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


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