Q: What are the prime factors of the number 54,530,023?

 A: 31, 179, 317

Why are those the prime factors of the number 54,530,023?

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 54,530,023

54,530,023
Factor Arrows
311,759,033
Factor Arrows
3156,743
Factor Arrows
179317

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:

31, 179, 317

We can check our work by multiplying all of the prime factors together: 31 x 31 x 179 x 317 = 54,530,023

This can also be written as 312 x 1791 x 3171 = 54,530,023

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


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