Q: What are the prime factors of the number 951,032?

 A: 2, 53, 2243

Why are those the prime factors of the number 951,032?

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 951,032

951,032
Factor Arrows
2475,516
Factor Arrows
2237,758
Factor Arrows
2118,879
Factor Arrows
532,243

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, 53, 2243

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 53 x 2,243 = 951,032

This can also be written as 23 x 531 x 2,2431 = 951,032

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


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