Q: What are the prime factors of the number 50,347,175?

 A: 5, 151, 13337

Why are those the prime factors of the number 50,347,175?

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 50,347,175

50,347,175
Factor Arrows
510,069,435
Factor Arrows
52,013,887
Factor Arrows
15113,337

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:

5, 151, 13337

We can check our work by multiplying all of the prime factors together: 5 x 5 x 151 x 13,337 = 50,347,175

This can also be written as 52 x 1511 x 13,3371 = 50,347,175

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


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