Q: What are the prime factors of the number 50,225,784?

 A: 2, 3, 7, 42709

Why are those the prime factors of the number 50,225,784?

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 50,225,784

50,225,784
Factor Arrows
225,112,892
Factor Arrows
212,556,446
Factor Arrows
26,278,223
Factor Arrows
32,092,741
Factor Arrows
7298,963
Factor Arrows
742,709

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, 7, 42709

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 7 x 7 x 42,709 = 50,225,784

This can also be written as 23 x 31 x 72 x 42,7091 = 50,225,784

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


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