Q: What are the prime factors of the number 54,027,528?

 A: 2, 3, 2251147

Why are those the prime factors of the number 54,027,528?

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 54,027,528

54,027,528
Factor Arrows
227,013,764
Factor Arrows
213,506,882
Factor Arrows
26,753,441
Factor Arrows
32,251,147

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, 2251147

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 2,251,147 = 54,027,528

This can also be written as 23 x 31 x 2,251,1471 = 54,027,528

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


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