Q: What are the prime factors of the number 2,368,953?

 A: 3, 87739

Why are those the prime factors of the number 2,368,953?

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 2,368,953

2,368,953
Factor Arrows
3789,651
Factor Arrows
3263,217
Factor Arrows
387,739

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, 87739

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 87,739 = 2,368,953

This can also be written as 33 x 87,7391 = 2,368,953

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


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