Q: What are the prime factors of the number 49,172,500?

 A: 2, 5, 13, 17, 89

Why are those the prime factors of the number 49,172,500?

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 49,172,500

49,172,500
Factor Arrows
224,586,250
Factor Arrows
212,293,125
Factor Arrows
52,458,625
Factor Arrows
5491,725
Factor Arrows
598,345
Factor Arrows
519,669
Factor Arrows
131,513
Factor Arrows
1789

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, 13, 17, 89

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 5 x 5 x 13 x 17 x 89 = 49,172,500

This can also be written as 22 x 54 x 131 x 171 x 891 = 49,172,500

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


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