Q: What are the prime factors of the number 50,041,224?

 A: 2, 3, 695017

Why are those the prime factors of the number 50,041,224?

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 50,041,224

50,041,224
Factor Arrows
225,020,612
Factor Arrows
212,510,306
Factor Arrows
26,255,153
Factor Arrows
32,085,051
Factor Arrows
3695,017

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, 695017

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 695,017 = 50,041,224

This can also be written as 23 x 32 x 695,0171 = 50,041,224

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


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