Q: What are the prime factors of the number 50,154,072?

 A: 2, 3, 19, 109987

Why are those the prime factors of the number 50,154,072?

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 50,154,072

50,154,072
Factor Arrows
225,077,036
Factor Arrows
212,538,518
Factor Arrows
26,269,259
Factor Arrows
32,089,753
Factor Arrows
19109,987

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, 3, 19, 109987

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 19 x 109,987 = 50,154,072

This can also be written as 23 x 31 x 191 x 109,9871 = 50,154,072

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


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