Q: What are the prime factors of the number 562,625,234?

 A: 2, 17, 3581, 4621

Why are those the prime factors of the number 562,625,234?

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 562,625,234

562,625,234
Factor Arrows
2281,312,617
Factor Arrows
1716,547,801
Factor Arrows
3,5814,621

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, 17, 3581, 4621

We can check our work by multiplying all of the prime factors together: 2 x 17 x 3,581 x 4,621 = 562,625,234

This can also be written as 21 x 171 x 3,5811 x 4,6211 = 562,625,234

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


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