Q: What are the prime factors of the number 104,152?

 A: 2, 47, 277

Why are those the prime factors of the number 104,152?

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 104,152

104,152
Factor Arrows
252,076
Factor Arrows
226,038
Factor Arrows
213,019
Factor Arrows
47277

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, 47, 277

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 47 x 277 = 104,152

This can also be written as 23 x 471 x 2771 = 104,152

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


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