Q: What are the prime factors of the number 100,343,200?

 A: 2, 5, 125429

Why are those the prime factors of the number 100,343,200?

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 100,343,200

100,343,200
Factor Arrows
250,171,600
Factor Arrows
225,085,800
Factor Arrows
212,542,900
Factor Arrows
26,271,450
Factor Arrows
23,135,725
Factor Arrows
5627,145
Factor Arrows
5125,429

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, 125429

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 5 x 125,429 = 100,343,200

This can also be written as 25 x 52 x 125,4291 = 100,343,200

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


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