Q: What are the prime factors of the number 100,004,400?

 A: 2, 3, 5, 27779

Why are those the prime factors of the number 100,004,400?

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 100,004,400

100,004,400
Factor Arrows
250,002,200
Factor Arrows
225,001,100
Factor Arrows
212,500,550
Factor Arrows
26,250,275
Factor Arrows
32,083,425
Factor Arrows
3694,475
Factor Arrows
5138,895
Factor Arrows
527,779

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, 5, 27779

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 27,779 = 100,004,400

This can also be written as 24 x 32 x 52 x 27,7791 = 100,004,400

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


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