Q: What are the prime factors of the number 2,745,984?

 A: 2, 3, 7151

Why are those the prime factors of the number 2,745,984?

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 2,745,984

2,745,984
Factor Arrows
21,372,992
Factor Arrows
2686,496
Factor Arrows
2343,248
Factor Arrows
2171,624
Factor Arrows
285,812
Factor Arrows
242,906
Factor Arrows
221,453
Factor Arrows
37,151

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, 7151

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 3 x 7,151 = 2,745,984

This can also be written as 27 x 31 x 7,1511 = 2,745,984

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


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