Q: What are the prime factors of the number 2,634,048?

 A: 2, 3, 17, 269

Why are those the prime factors of the number 2,634,048?

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 2,634,048

2,634,048
Factor Arrows
21,317,024
Factor Arrows
2658,512
Factor Arrows
2329,256
Factor Arrows
2164,628
Factor Arrows
282,314
Factor Arrows
241,157
Factor Arrows
313,719
Factor Arrows
34,573
Factor Arrows
17269

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, 17, 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 3 x 3 x 17 x 269 = 2,634,048

This can also be written as 26 x 32 x 171 x 2691 = 2,634,048

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


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