Q: What are the prime factors of the number 441,064,404?

 A: 2, 3, 11, 19, 31, 61

Why are those the prime factors of the number 441,064,404?

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 441,064,404

441,064,404
Factor Arrows
2220,532,202
Factor Arrows
2110,266,101
Factor Arrows
336,755,367
Factor Arrows
312,251,789
Factor Arrows
111,113,799
Factor Arrows
1958,621
Factor Arrows
311,891
Factor Arrows
3161

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, 11, 19, 31, 61

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 11 x 19 x 31 x 31 x 61 = 441,064,404

This can also be written as 22 x 32 x 111 x 191 x 312 x 611 = 441,064,404

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


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