Q: What are the prime factors of the number 50,190,752?

 A: 2, 71, 22091

Why are those the prime factors of the number 50,190,752?

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 50,190,752

50,190,752
Factor Arrows
225,095,376
Factor Arrows
212,547,688
Factor Arrows
26,273,844
Factor Arrows
23,136,922
Factor Arrows
21,568,461
Factor Arrows
7122,091

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:

2, 71, 22091

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 71 x 22,091 = 50,190,752

This can also be written as 25 x 711 x 22,0911 = 50,190,752

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


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