Q: What are the prime factors of the number 442,304,336?

 A: 2, 27644021

Why are those the prime factors of the number 442,304,336?

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 442,304,336

442,304,336
Factor Arrows
2221,152,168
Factor Arrows
2110,576,084
Factor Arrows
255,288,042
Factor Arrows
227,644,021

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, 27644021

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 27,644,021 = 442,304,336

This can also be written as 24 x 27,644,0211 = 442,304,336

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


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