Q: What are the prime factors of the number 54,863,312?

 A: 2, 7, 489851

Why are those the prime factors of the number 54,863,312?

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 54,863,312

54,863,312
Factor Arrows
227,431,656
Factor Arrows
213,715,828
Factor Arrows
26,857,914
Factor Arrows
23,428,957
Factor Arrows
7489,851

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, 7, 489851

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 489,851 = 54,863,312

This can also be written as 24 x 71 x 489,8511 = 54,863,312

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


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