Q: What are the prime factors of the number 443,104,032?

 A: 2, 3, 7, 137, 4813

Why are those the prime factors of the number 443,104,032?

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 443,104,032

443,104,032
Factor Arrows
2221,552,016
Factor Arrows
2110,776,008
Factor Arrows
255,388,004
Factor Arrows
227,694,002
Factor Arrows
213,847,001
Factor Arrows
34,615,667
Factor Arrows
7659,381
Factor Arrows
1374,813

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, 137, 4813

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 7 x 137 x 4,813 = 443,104,032

This can also be written as 25 x 31 x 71 x 1371 x 4,8131 = 443,104,032

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


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