Q: What are the prime factors of the number 50,024,544?

 A: 2, 3, 47, 11087

Why are those the prime factors of the number 50,024,544?

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 50,024,544

50,024,544
Factor Arrows
225,012,272
Factor Arrows
212,506,136
Factor Arrows
26,253,068
Factor Arrows
23,126,534
Factor Arrows
21,563,267
Factor Arrows
3521,089
Factor Arrows
4711,087

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, 47, 11087

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 47 x 11,087 = 50,024,544

This can also be written as 25 x 31 x 471 x 11,0871 = 50,024,544

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


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