Q: What are the prime factors of the number 371,523,606?

 A: 2, 3, 19, 3258979

Why are those the prime factors of the number 371,523,606?

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 371,523,606

371,523,606
Factor Arrows
2185,761,803
Factor Arrows
361,920,601
Factor Arrows
193,258,979

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, 19, 3258979

We can check our work by multiplying all of the prime factors together: 2 x 3 x 19 x 3,258,979 = 371,523,606

This can also be written as 21 x 31 x 191 x 3,258,9791 = 371,523,606

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


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