Q: What are the prime factors of the number 571,856?

 A: 2, 103, 347

Why are those the prime factors of the number 571,856?

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 571,856

571,856
Factor Arrows
2285,928
Factor Arrows
2142,964
Factor Arrows
271,482
Factor Arrows
235,741
Factor Arrows
103347

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, 103, 347

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 103 x 347 = 571,856

This can also be written as 24 x 1031 x 3471 = 571,856

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


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