Q: What are the prime factors of the number 26,651,412?

 A: 2, 3, 71, 10427

Why are those the prime factors of the number 26,651,412?

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 26,651,412

26,651,412
Factor Arrows
213,325,706
Factor Arrows
26,662,853
Factor Arrows
32,220,951
Factor Arrows
3740,317
Factor Arrows
7110,427

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, 71, 10427

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 71 x 10,427 = 26,651,412

This can also be written as 22 x 32 x 711 x 10,4271 = 26,651,412

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


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