Q: What are the prime factors of the number 54,027,520?

 A: 2, 5, 42209

Why are those the prime factors of the number 54,027,520?

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 54,027,520

54,027,520
Factor Arrows
227,013,760
Factor Arrows
213,506,880
Factor Arrows
26,753,440
Factor Arrows
23,376,720
Factor Arrows
21,688,360
Factor Arrows
2844,180
Factor Arrows
2422,090
Factor Arrows
2211,045
Factor Arrows
542,209

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, 5, 42209

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 42,209 = 54,027,520

This can also be written as 28 x 51 x 42,2091 = 54,027,520

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


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