Q: What are the prime factors of the number 587,226?

 A: 2, 3, 97871

Why are those the prime factors of the number 587,226?

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 587,226

587,226
Factor Arrows
2293,613
Factor Arrows
397,871

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, 97871

We can check our work by multiplying all of the prime factors together: 2 x 3 x 97,871 = 587,226

This can also be written as 21 x 31 x 97,8711 = 587,226

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


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