Q: What are the prime factors of the number 6,957,948?

 A: 2, 3, 579829

Why are those the prime factors of the number 6,957,948?

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 6,957,948

6,957,948
Factor Arrows
23,478,974
Factor Arrows
21,739,487
Factor Arrows
3579,829

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, 3, 579829

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 579,829 = 6,957,948

This can also be written as 22 x 31 x 579,8291 = 6,957,948

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


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