Q: What are the prime factors of the number 571,604?

 A: 2, 11, 1181

Why are those the prime factors of the number 571,604?

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 571,604

571,604
Factor Arrows
2285,802
Factor Arrows
2142,901
Factor Arrows
1112,991
Factor Arrows
111,181

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, 11, 1181

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 11 x 1,181 = 571,604

This can also be written as 22 x 112 x 1,1811 = 571,604

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


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