Q: What are the prime factors of the number 6,197,355?

 A: 3, 5, 41, 3359

Why are those the prime factors of the number 6,197,355?

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 6,197,355

6,197,355
Factor Arrows
32,065,785
Factor Arrows
3688,595
Factor Arrows
5137,719
Factor Arrows
413,359

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:

3, 5, 41, 3359

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 41 x 3,359 = 6,197,355

This can also be written as 32 x 51 x 411 x 3,3591 = 6,197,355

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


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