Q: What are the prime factors of the number 50,707,225?

 A: 5, 29, 69941

Why are those the prime factors of the number 50,707,225?

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 50,707,225

50,707,225
Factor Arrows
510,141,445
Factor Arrows
52,028,289
Factor Arrows
2969,941

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, 29, 69941

We can check our work by multiplying all of the prime factors together: 5 x 5 x 29 x 69,941 = 50,707,225

This can also be written as 52 x 291 x 69,9411 = 50,707,225

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


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