Q: What are the prime factors of the number 316,876,116?

 A: 2, 3, 43, 614101

Why are those the prime factors of the number 316,876,116?

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 316,876,116

316,876,116
Factor Arrows
2158,438,058
Factor Arrows
279,219,029
Factor Arrows
326,406,343
Factor Arrows
43614,101

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, 43, 614101

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 43 x 614,101 = 316,876,116

This can also be written as 22 x 31 x 431 x 614,1011 = 316,876,116

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


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