Q: What are the prime factors of the number 49,120?

 A: 2, 5, 307

Why are those the prime factors of the number 49,120?

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 49,120

49,120
Factor Arrows
224,560
Factor Arrows
212,280
Factor Arrows
26,140
Factor Arrows
23,070
Factor Arrows
21,535
Factor Arrows
5307

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, 307

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 307 = 49,120

This can also be written as 25 x 51 x 3071 = 49,120

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


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