Q: What are the prime factors of the number 536,613,534?

 A: 2, 3, 17, 31, 56569

Why are those the prime factors of the number 536,613,534?

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 536,613,534

536,613,534
Factor Arrows
2268,306,767
Factor Arrows
389,435,589
Factor Arrows
329,811,863
Factor Arrows
171,753,639
Factor Arrows
3156,569

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, 17, 31, 56569

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 17 x 31 x 56,569 = 536,613,534

This can also be written as 21 x 32 x 171 x 311 x 56,5691 = 536,613,534

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


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