Q: What are the prime factors of the number 341,606,136?

 A: 2, 3, 421, 33809

Why are those the prime factors of the number 341,606,136?

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 341,606,136

341,606,136
Factor Arrows
2170,803,068
Factor Arrows
285,401,534
Factor Arrows
242,700,767
Factor Arrows
314,233,589
Factor Arrows
42133,809

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, 421, 33809

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 421 x 33,809 = 341,606,136

This can also be written as 23 x 31 x 4211 x 33,8091 = 341,606,136

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


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