Q: What are the prime factors of the number 531,672?

 A: 2, 3, 22153

Why are those the prime factors of the number 531,672?

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 531,672

531,672
Factor Arrows
2265,836
Factor Arrows
2132,918
Factor Arrows
266,459
Factor Arrows
322,153

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, 22153

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 22,153 = 531,672

This can also be written as 23 x 31 x 22,1531 = 531,672

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


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