Q: What are the prime factors of the number 443,184?

 A: 2, 3, 7, 1319

Why are those the prime factors of the number 443,184?

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 443,184

443,184
Factor Arrows
2221,592
Factor Arrows
2110,796
Factor Arrows
255,398
Factor Arrows
227,699
Factor Arrows
39,233
Factor Arrows
71,319

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, 7, 1319

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 7 x 1,319 = 443,184

This can also be written as 24 x 31 x 71 x 1,3191 = 443,184

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


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