Q: What are the prime factors of the number 127,674,603?

 A: 3, 7, 317, 2131

Why are those the prime factors of the number 127,674,603?

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 127,674,603

127,674,603
Factor Arrows
342,558,201
Factor Arrows
314,186,067
Factor Arrows
34,728,689
Factor Arrows
7675,527
Factor Arrows
3172,131

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:

3, 7, 317, 2131

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 7 x 317 x 2,131 = 127,674,603

This can also be written as 33 x 71 x 3171 x 2,1311 = 127,674,603

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


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