Q: What are the prime factors of the number 26,611,024?

 A: 2, 11, 47, 3217

Why are those the prime factors of the number 26,611,024?

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 26,611,024

26,611,024
Factor Arrows
213,305,512
Factor Arrows
26,652,756
Factor Arrows
23,326,378
Factor Arrows
21,663,189
Factor Arrows
11151,199
Factor Arrows
473,217

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, 11, 47, 3217

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 11 x 47 x 3,217 = 26,611,024

This can also be written as 24 x 111 x 471 x 3,2171 = 26,611,024

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


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