Q: What are the prime factors of the number 538,554,676?

 A: 2, 11, 127, 96377

Why are those the prime factors of the number 538,554,676?

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 538,554,676

538,554,676
Factor Arrows
2269,277,338
Factor Arrows
2134,638,669
Factor Arrows
1112,239,879
Factor Arrows
12796,377

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, 11, 127, 96377

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 127 x 96,377 = 538,554,676

This can also be written as 22 x 111 x 1271 x 96,3771 = 538,554,676

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


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