Q: What are the prime factors of the number 50,922,912?

 A: 2, 3, 530447

Why are those the prime factors of the number 50,922,912?

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 50,922,912

50,922,912
Factor Arrows
225,461,456
Factor Arrows
212,730,728
Factor Arrows
26,365,364
Factor Arrows
23,182,682
Factor Arrows
21,591,341
Factor Arrows
3530,447

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, 530447

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 530,447 = 50,922,912

This can also be written as 25 x 31 x 530,4471 = 50,922,912

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


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