Q: What are the prime factors of the number 341,400?

 A: 2, 3, 5, 569

Why are those the prime factors of the number 341,400?

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 341,400

341,400
Factor Arrows
2170,700
Factor Arrows
285,350
Factor Arrows
242,675
Factor Arrows
314,225
Factor Arrows
52,845
Factor Arrows
5569

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, 5, 569

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 5 x 569 = 341,400

This can also be written as 23 x 31 x 52 x 5691 = 341,400

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


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