Q: What are the prime factors of the number 1,091,592?

 A: 2, 3, 15161

Why are those the prime factors of the number 1,091,592?

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 1,091,592

1,091,592
Factor Arrows
2545,796
Factor Arrows
2272,898
Factor Arrows
2136,449
Factor Arrows
345,483
Factor Arrows
315,161

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:

2, 3, 15161

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 15,161 = 1,091,592

This can also be written as 23 x 32 x 15,1611 = 1,091,592

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


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