Q: What are the prime factors of the number 2,198,540?

 A: 2, 5, 37, 2971

Why are those the prime factors of the number 2,198,540?

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 2,198,540

2,198,540
Factor Arrows
21,099,270
Factor Arrows
2549,635
Factor Arrows
5109,927
Factor Arrows
372,971

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, 37, 2971

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 37 x 2,971 = 2,198,540

This can also be written as 22 x 51 x 371 x 2,9711 = 2,198,540

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


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