Q: What are the prime factors of the number 336,194,860?

 A: 2, 5, 523, 32141

Why are those the prime factors of the number 336,194,860?

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 336,194,860

336,194,860
Factor Arrows
2168,097,430
Factor Arrows
284,048,715
Factor Arrows
516,809,743
Factor Arrows
52332,141

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, 5, 523, 32141

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 523 x 32,141 = 336,194,860

This can also be written as 22 x 51 x 5231 x 32,1411 = 336,194,860

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


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