Q: What are the prime factors of the number 50,175?

 A: 3, 5, 223

Why are those the prime factors of the number 50,175?

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 50,175

50,175
Factor Arrows
316,725
Factor Arrows
35,575
Factor Arrows
51,115
Factor Arrows
5223

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:

3, 5, 223

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 5 x 223 = 50,175

This can also be written as 32 x 52 x 2231 = 50,175

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


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