Q: What are the prime factors of the number 927,069?

 A: 3, 11, 13, 2161

Why are those the prime factors of the number 927,069?

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 927,069

927,069
Factor Arrows
3309,023
Factor Arrows
1128,093
Factor Arrows
132,161

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, 11, 13, 2161

We can check our work by multiplying all of the prime factors together: 3 x 11 x 13 x 2,161 = 927,069

This can also be written as 31 x 111 x 131 x 2,1611 = 927,069

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


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