Q: What are the prime factors of the number 474,272?

 A: 2, 14821

Why are those the prime factors of the number 474,272?

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 474,272

474,272
Factor Arrows
2237,136
Factor Arrows
2118,568
Factor Arrows
259,284
Factor Arrows
229,642
Factor Arrows
214,821

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, 14821

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 14,821 = 474,272

This can also be written as 25 x 14,8211 = 474,272

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


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