Q: What are the prime factors of the number 538,858,455?

 A: 3, 5, 2753, 13049

Why are those the prime factors of the number 538,858,455?

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 538,858,455

538,858,455
Factor Arrows
3179,619,485
Factor Arrows
535,923,897
Factor Arrows
2,75313,049

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:

3, 5, 2753, 13049

We can check our work by multiplying all of the prime factors together: 3 x 5 x 2,753 x 13,049 = 538,858,455

This can also be written as 31 x 51 x 2,7531 x 13,0491 = 538,858,455

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


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