Q: What are the prime factors of the number 341,356?

 A: 2, 61, 1399

Why are those the prime factors of the number 341,356?

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 341,356

341,356
Factor Arrows
2170,678
Factor Arrows
285,339
Factor Arrows
611,399

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, 61, 1399

We can check our work by multiplying all of the prime factors together: 2 x 2 x 61 x 1,399 = 341,356

This can also be written as 22 x 611 x 1,3991 = 341,356

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


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