Q: What are the prime factors of the number 312,030,102?

 A: 2, 3, 37, 43, 32687

Why are those the prime factors of the number 312,030,102?

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 312,030,102

312,030,102
Factor Arrows
2156,015,051
Factor Arrows
352,005,017
Factor Arrows
371,405,541
Factor Arrows
4332,687

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, 37, 43, 32687

We can check our work by multiplying all of the prime factors together: 2 x 3 x 37 x 43 x 32,687 = 312,030,102

This can also be written as 21 x 31 x 371 x 431 x 32,6871 = 312,030,102

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


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