Q: What are the prime factors of the number 536,581,836?

 A: 2, 3, 7, 2129293

Why are those the prime factors of the number 536,581,836?

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 536,581,836

536,581,836
Factor Arrows
2268,290,918
Factor Arrows
2134,145,459
Factor Arrows
344,715,153
Factor Arrows
314,905,051
Factor Arrows
72,129,293

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, 7, 2129293

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 7 x 2,129,293 = 536,581,836

This can also be written as 22 x 32 x 71 x 2,129,2931 = 536,581,836

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


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