Q: What are the prime factors of the number 311,154,210?

 A: 2, 3, 5, 128047

Why are those the prime factors of the number 311,154,210?

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 311,154,210

311,154,210
Factor Arrows
2155,577,105
Factor Arrows
351,859,035
Factor Arrows
317,286,345
Factor Arrows
35,762,115
Factor Arrows
31,920,705
Factor Arrows
3640,235
Factor Arrows
5128,047

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, 5, 128047

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3 x 5 x 128,047 = 311,154,210

This can also be written as 21 x 35 x 51 x 128,0471 = 311,154,210

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


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