Q: What are the prime factors of the number 316,176,138?

 A: 2, 3, 17565341

Why are those the prime factors of the number 316,176,138?

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 316,176,138

316,176,138
Factor Arrows
2158,088,069
Factor Arrows
352,696,023
Factor Arrows
317,565,341

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, 17565341

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 17,565,341 = 316,176,138

This can also be written as 21 x 32 x 17,565,3411 = 316,176,138

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


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