Q: What are the prime factors of the number 25,112,400?

 A: 2, 3, 5, 17, 1231

Why are those the prime factors of the number 25,112,400?

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 25,112,400

25,112,400
Factor Arrows
212,556,200
Factor Arrows
26,278,100
Factor Arrows
23,139,050
Factor Arrows
21,569,525
Factor Arrows
3523,175
Factor Arrows
5104,635
Factor Arrows
520,927
Factor Arrows
171,231

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, 17, 1231

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 5 x 5 x 17 x 1,231 = 25,112,400

This can also be written as 24 x 31 x 52 x 171 x 1,2311 = 25,112,400

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


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