Q: What are the prime factors of the number 536,204,252?

 A: 2, 823, 162881

Why are those the prime factors of the number 536,204,252?

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 536,204,252

536,204,252
Factor Arrows
2268,102,126
Factor Arrows
2134,051,063
Factor Arrows
823162,881

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, 823, 162881

We can check our work by multiplying all of the prime factors together: 2 x 2 x 823 x 162,881 = 536,204,252

This can also be written as 22 x 8231 x 162,8811 = 536,204,252

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


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