Q: What are the prime factors of the number 26,034,880?

 A: 2, 5, 81359

Why are those the prime factors of the number 26,034,880?

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 26,034,880

26,034,880
Factor Arrows
213,017,440
Factor Arrows
26,508,720
Factor Arrows
23,254,360
Factor Arrows
21,627,180
Factor Arrows
2813,590
Factor Arrows
2406,795
Factor Arrows
581,359

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, 5, 81359

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 5 x 81,359 = 26,034,880

This can also be written as 26 x 51 x 81,3591 = 26,034,880

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


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