Q: What are the prime factors of the number 312,393,636?

 A: 2, 3, 23, 377287

Why are those the prime factors of the number 312,393,636?

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 312,393,636

312,393,636
Factor Arrows
2156,196,818
Factor Arrows
278,098,409
Factor Arrows
326,032,803
Factor Arrows
38,677,601
Factor Arrows
23377,287

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, 23, 377287

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 23 x 377,287 = 312,393,636

This can also be written as 22 x 32 x 231 x 377,2871 = 312,393,636

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


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