Q: What are the prime factors of the number 931,232?

 A: 2, 29101

Why are those the prime factors of the number 931,232?

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 931,232

931,232
Factor Arrows
2465,616
Factor Arrows
2232,808
Factor Arrows
2116,404
Factor Arrows
258,202
Factor Arrows
229,101

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, 29101

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 29,101 = 931,232

This can also be written as 25 x 29,1011 = 931,232

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


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