Q: What are the prime factors of the number 317,155,074?

 A: 2, 3, 53, 997343

Why are those the prime factors of the number 317,155,074?

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 317,155,074

317,155,074
Factor Arrows
2158,577,537
Factor Arrows
352,859,179
Factor Arrows
53997,343

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, 53, 997343

We can check our work by multiplying all of the prime factors together: 2 x 3 x 53 x 997,343 = 317,155,074

This can also be written as 21 x 31 x 531 x 997,3431 = 317,155,074

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


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