Q: What are the prime factors of the number 26,011,044?

 A: 2, 3, 43, 1867

Why are those the prime factors of the number 26,011,044?

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 26,011,044

26,011,044
Factor Arrows
213,005,522
Factor Arrows
26,502,761
Factor Arrows
32,167,587
Factor Arrows
3722,529
Factor Arrows
3240,843
Factor Arrows
380,281
Factor Arrows
431,867

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, 43, 1867

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 43 x 1,867 = 26,011,044

This can also be written as 22 x 34 x 431 x 1,8671 = 26,011,044

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


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