Q: What are the prime factors of the number 2,685,696?

 A: 2, 3, 13, 269

Why are those the prime factors of the number 2,685,696?

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 2,685,696

2,685,696
Factor Arrows
21,342,848
Factor Arrows
2671,424
Factor Arrows
2335,712
Factor Arrows
2167,856
Factor Arrows
283,928
Factor Arrows
241,964
Factor Arrows
220,982
Factor Arrows
210,491
Factor Arrows
33,497
Factor Arrows
13269

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, 13, 269

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 2 x 3 x 13 x 269 = 2,685,696

This can also be written as 28 x 31 x 131 x 2691 = 2,685,696

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


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