Q: What are the prime factors of the number 23,626,724?

 A: 2, 11, 536971

Why are those the prime factors of the number 23,626,724?

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 23,626,724

23,626,724
Factor Arrows
211,813,362
Factor Arrows
25,906,681
Factor Arrows
11536,971

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, 536971

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 536,971 = 23,626,724

This can also be written as 22 x 111 x 536,9711 = 23,626,724

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


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