Q: What are the prime factors of the number 52,050,176?

 A: 2, 203321

Why are those the prime factors of the number 52,050,176?

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 52,050,176

52,050,176
Factor Arrows
226,025,088
Factor Arrows
213,012,544
Factor Arrows
26,506,272
Factor Arrows
23,253,136
Factor Arrows
21,626,568
Factor Arrows
2813,284
Factor Arrows
2406,642
Factor Arrows
2203,321

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, 203321

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 203,321 = 52,050,176

This can also be written as 28 x 203,3211 = 52,050,176

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


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