Q: What are the prime factors of the number 405,112?

 A: 2, 79, 641

Why are those the prime factors of the number 405,112?

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 405,112

405,112
Factor Arrows
2202,556
Factor Arrows
2101,278
Factor Arrows
250,639
Factor Arrows
79641

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, 79, 641

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 79 x 641 = 405,112

This can also be written as 23 x 791 x 6411 = 405,112

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


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