Q: What are the prime factors of the number 951,741?

 A: 3, 7, 15107

Why are those the prime factors of the number 951,741?

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 951,741

951,741
Factor Arrows
3317,247
Factor Arrows
3105,749
Factor Arrows
715,107

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, 15107

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 15,107 = 951,741

This can also be written as 32 x 71 x 15,1071 = 951,741

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


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