Q: What are the prime factors of the number 444,448?

 A: 2, 17, 19, 43

Why are those the prime factors of the number 444,448?

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 444,448

444,448
Factor Arrows
2222,224
Factor Arrows
2111,112
Factor Arrows
255,556
Factor Arrows
227,778
Factor Arrows
213,889
Factor Arrows
17817
Factor Arrows
1943

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, 17, 19, 43

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 17 x 19 x 43 = 444,448

This can also be written as 25 x 171 x 191 x 431 = 444,448

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


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