Q: What are the prime factors of the number 54,776?

 A: 2, 41, 167

Why are those the prime factors of the number 54,776?

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 54,776

54,776
Factor Arrows
227,388
Factor Arrows
213,694
Factor Arrows
26,847
Factor Arrows
41167

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, 41, 167

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 41 x 167 = 54,776

This can also be written as 23 x 411 x 1671 = 54,776

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


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