Q: What are the prime factors of the number 2,647,936?

 A: 2, 137, 151

Why are those the prime factors of the number 2,647,936?

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 2,647,936

2,647,936
Factor Arrows
21,323,968
Factor Arrows
2661,984
Factor Arrows
2330,992
Factor Arrows
2165,496
Factor Arrows
282,748
Factor Arrows
241,374
Factor Arrows
220,687
Factor Arrows
137151

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, 137, 151

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 2 x 137 x 151 = 2,647,936

This can also be written as 27 x 1371 x 1511 = 2,647,936

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


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