Q: What are the prime factors of the number 26,494,600?

 A: 2, 5, 11, 12043

Why are those the prime factors of the number 26,494,600?

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 26,494,600

26,494,600
Factor Arrows
213,247,300
Factor Arrows
26,623,650
Factor Arrows
23,311,825
Factor Arrows
5662,365
Factor Arrows
5132,473
Factor Arrows
1112,043

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, 11, 12043

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5 x 11 x 12,043 = 26,494,600

This can also be written as 23 x 52 x 111 x 12,0431 = 26,494,600

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


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