Q: What are the prime factors of the number 3,524,500?

 A: 2, 5, 7, 19, 53

Why are those the prime factors of the number 3,524,500?

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 3,524,500

3,524,500
Factor Arrows
21,762,250
Factor Arrows
2881,125
Factor Arrows
5176,225
Factor Arrows
535,245
Factor Arrows
57,049
Factor Arrows
71,007
Factor Arrows
1953

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, 19, 53

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 5 x 7 x 19 x 53 = 3,524,500

This can also be written as 22 x 53 x 71 x 191 x 531 = 3,524,500

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


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