Q: What are the prime factors of the number 22,404,400?

 A: 2, 5, 79, 709

Why are those the prime factors of the number 22,404,400?

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 22,404,400

22,404,400
Factor Arrows
211,202,200
Factor Arrows
25,601,100
Factor Arrows
22,800,550
Factor Arrows
21,400,275
Factor Arrows
5280,055
Factor Arrows
556,011
Factor Arrows
79709

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, 79, 709

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 5 x 79 x 709 = 22,404,400

This can also be written as 24 x 52 x 791 x 7091 = 22,404,400

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


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