Q: What are the prime factors of the number 441,104,132?

 A: 2, 7, 1609, 9791

Why are those the prime factors of the number 441,104,132?

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 441,104,132

441,104,132
Factor Arrows
2220,552,066
Factor Arrows
2110,276,033
Factor Arrows
715,753,719
Factor Arrows
1,6099,791

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, 7, 1609, 9791

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 1,609 x 9,791 = 441,104,132

This can also be written as 22 x 71 x 1,6091 x 9,7911 = 441,104,132

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


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