Q: What are the prime factors of the number 26,751,240?

 A: 2, 3, 5, 19, 3911

Why are those the prime factors of the number 26,751,240?

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 26,751,240

26,751,240
Factor Arrows
213,375,620
Factor Arrows
26,687,810
Factor Arrows
23,343,905
Factor Arrows
31,114,635
Factor Arrows
3371,545
Factor Arrows
574,309
Factor Arrows
193,911

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, 19, 3911

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 5 x 19 x 3,911 = 26,751,240

This can also be written as 23 x 32 x 51 x 191 x 3,9111 = 26,751,240

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


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