Q: What are the prime factors of the number 48,382,688?

 A: 2, 443, 3413

Why are those the prime factors of the number 48,382,688?

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 48,382,688

48,382,688
Factor Arrows
224,191,344
Factor Arrows
212,095,672
Factor Arrows
26,047,836
Factor Arrows
23,023,918
Factor Arrows
21,511,959
Factor Arrows
4433,413

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, 443, 3413

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 443 x 3,413 = 48,382,688

This can also be written as 25 x 4431 x 3,4131 = 48,382,688

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


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