Q: What are the prime factors of the number 50,321,235?

 A: 3, 5, 29, 3989

Why are those the prime factors of the number 50,321,235?

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 50,321,235

50,321,235
Factor Arrows
316,773,745
Factor Arrows
53,354,749
Factor Arrows
29115,681
Factor Arrows
293,989

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, 29, 3989

We can check our work by multiplying all of the prime factors together: 3 x 5 x 29 x 29 x 3,989 = 50,321,235

This can also be written as 31 x 51 x 292 x 3,9891 = 50,321,235

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


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