Q: What are the prime factors of the number 50,585,056?

 A: 2, 31, 50993

Why are those the prime factors of the number 50,585,056?

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 50,585,056

50,585,056
Factor Arrows
225,292,528
Factor Arrows
212,646,264
Factor Arrows
26,323,132
Factor Arrows
23,161,566
Factor Arrows
21,580,783
Factor Arrows
3150,993

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, 31, 50993

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 31 x 50,993 = 50,585,056

This can also be written as 25 x 311 x 50,9931 = 50,585,056

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


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