Q: What are the prime factors of the number 26,623,920?

 A: 2, 3, 5, 110933

Why are those the prime factors of the number 26,623,920?

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 26,623,920

26,623,920
Factor Arrows
213,311,960
Factor Arrows
26,655,980
Factor Arrows
23,327,990
Factor Arrows
21,663,995
Factor Arrows
3554,665
Factor Arrows
5110,933

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, 5, 110933

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 5 x 110,933 = 26,623,920

This can also be written as 24 x 31 x 51 x 110,9331 = 26,623,920

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


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