Q: What are the prime factors of the number 45,184?

 A: 2, 353

Why are those the prime factors of the number 45,184?

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 45,184

45,184
Factor Arrows
222,592
Factor Arrows
211,296
Factor Arrows
25,648
Factor Arrows
22,824
Factor Arrows
21,412
Factor Arrows
2706
Factor Arrows
2353

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, 353

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 353 = 45,184

This can also be written as 27 x 3531 = 45,184

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


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