Q: What are the prime factors of the number 337,116,400?

 A: 2, 5, 842791

Why are those the prime factors of the number 337,116,400?

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 337,116,400

337,116,400
Factor Arrows
2168,558,200
Factor Arrows
284,279,100
Factor Arrows
242,139,550
Factor Arrows
221,069,775
Factor Arrows
54,213,955
Factor Arrows
5842,791

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, 842791

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 5 x 842,791 = 337,116,400

This can also be written as 24 x 52 x 842,7911 = 337,116,400

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


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