Q: What are the prime factors of the number 404,445,064?

 A: 2, 23, 691, 3181

Why are those the prime factors of the number 404,445,064?

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 404,445,064

404,445,064
Factor Arrows
2202,222,532
Factor Arrows
2101,111,266
Factor Arrows
250,555,633
Factor Arrows
232,198,071
Factor Arrows
6913,181

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, 23, 691, 3181

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 23 x 691 x 3,181 = 404,445,064

This can also be written as 23 x 231 x 6911 x 3,1811 = 404,445,064

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


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