Q: What are the prime factors of the number 135,556,400?

 A: 2, 5, 7, 48413

Why are those the prime factors of the number 135,556,400?

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 135,556,400

135,556,400
Factor Arrows
267,778,200
Factor Arrows
233,889,100
Factor Arrows
216,944,550
Factor Arrows
28,472,275
Factor Arrows
51,694,455
Factor Arrows
5338,891
Factor Arrows
748,413

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, 7, 48413

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 7 x 48,413 = 135,556,400

This can also be written as 24 x 52 x 71 x 48,4131 = 135,556,400

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


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