Q: What are the prime factors of the number 50,055,507?

 A: 3, 149, 163, 229

Why are those the prime factors of the number 50,055,507?

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 50,055,507

50,055,507
Factor Arrows
316,685,169
Factor Arrows
35,561,723
Factor Arrows
14937,327
Factor Arrows
163229

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, 149, 163, 229

We can check our work by multiplying all of the prime factors together: 3 x 3 x 149 x 163 x 229 = 50,055,507

This can also be written as 32 x 1491 x 1631 x 2291 = 50,055,507

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


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