Q: What are the prime factors of the number 536,566,552?

 A: 2, 67, 103, 9719

Why are those the prime factors of the number 536,566,552?

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 536,566,552

536,566,552
Factor Arrows
2268,283,276
Factor Arrows
2134,141,638
Factor Arrows
267,070,819
Factor Arrows
671,001,057
Factor Arrows
1039,719

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, 67, 103, 9719

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 67 x 103 x 9,719 = 536,566,552

This can also be written as 23 x 671 x 1031 x 9,7191 = 536,566,552

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


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