Q: What are the prime factors of the number 317,076,158?

 A: 2, 7, 3235471

Why are those the prime factors of the number 317,076,158?

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 317,076,158

317,076,158
Factor Arrows
2158,538,079
Factor Arrows
722,648,297
Factor Arrows
73,235,471

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, 7, 3235471

We can check our work by multiplying all of the prime factors together: 2 x 7 x 7 x 3,235,471 = 317,076,158

This can also be written as 21 x 72 x 3,235,4711 = 317,076,158

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


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