Q: What are the prime factors of the number 104,345,271?

 A: 3, 421, 27539

Why are those the prime factors of the number 104,345,271?

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 104,345,271

104,345,271
Factor Arrows
334,781,757
Factor Arrows
311,593,919
Factor Arrows
42127,539

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:

3, 421, 27539

We can check our work by multiplying all of the prime factors together: 3 x 3 x 421 x 27,539 = 104,345,271

This can also be written as 32 x 4211 x 27,5391 = 104,345,271

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


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