Q: What are the prime factors of the number 26,376,972?

 A: 2, 3, 271, 8111

Why are those the prime factors of the number 26,376,972?

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 26,376,972

26,376,972
Factor Arrows
213,188,486
Factor Arrows
26,594,243
Factor Arrows
32,198,081
Factor Arrows
2718,111

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, 271, 8111

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 271 x 8,111 = 26,376,972

This can also be written as 22 x 31 x 2711 x 8,1111 = 26,376,972

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


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