Q: What are the prime factors of the number 317,076,156?

 A: 2, 3, 8807671

Why are those the prime factors of the number 317,076,156?

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 317,076,156

317,076,156
Factor Arrows
2158,538,078
Factor Arrows
279,269,039
Factor Arrows
326,423,013
Factor Arrows
38,807,671

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, 8807671

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 8,807,671 = 317,076,156

This can also be written as 22 x 32 x 8,807,6711 = 317,076,156

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


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