Q: What are the prime factors of the number 26,634,276?

 A: 2, 3, 19, 23, 1693

Why are those the prime factors of the number 26,634,276?

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 26,634,276

26,634,276
Factor Arrows
213,317,138
Factor Arrows
26,658,569
Factor Arrows
32,219,523
Factor Arrows
3739,841
Factor Arrows
1938,939
Factor Arrows
231,693

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, 19, 23, 1693

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 19 x 23 x 1,693 = 26,634,276

This can also be written as 22 x 32 x 191 x 231 x 1,6931 = 26,634,276

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


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