Q: What are the prime factors of the number 3,015,872?

 A: 2, 47123

Why are those the prime factors of the number 3,015,872?

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 3,015,872

3,015,872
Factor Arrows
21,507,936
Factor Arrows
2753,968
Factor Arrows
2376,984
Factor Arrows
2188,492
Factor Arrows
294,246
Factor Arrows
247,123

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, 47123

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 47,123 = 3,015,872

This can also be written as 26 x 47,1231 = 3,015,872

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


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