Q: What are the prime factors of the number 50,324,224?

 A: 2, 196579

Why are those the prime factors of the number 50,324,224?

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 50,324,224

50,324,224
Factor Arrows
225,162,112
Factor Arrows
212,581,056
Factor Arrows
26,290,528
Factor Arrows
23,145,264
Factor Arrows
21,572,632
Factor Arrows
2786,316
Factor Arrows
2393,158
Factor Arrows
2196,579

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, 196579

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 196,579 = 50,324,224

This can also be written as 28 x 196,5791 = 50,324,224

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


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