Q: What are the prime factors of the number 2,643,712?

 A: 2, 23, 449

Why are those the prime factors of the number 2,643,712?

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 2,643,712

2,643,712
Factor Arrows
21,321,856
Factor Arrows
2660,928
Factor Arrows
2330,464
Factor Arrows
2165,232
Factor Arrows
282,616
Factor Arrows
241,308
Factor Arrows
220,654
Factor Arrows
210,327
Factor Arrows
23449

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, 23, 449

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 23 x 449 = 2,643,712

This can also be written as 28 x 231 x 4491 = 2,643,712

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


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