Q: What are the prime factors of the number 265,678,389?

 A: 3, 37, 797833

Why are those the prime factors of the number 265,678,389?

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 265,678,389

265,678,389
Factor Arrows
388,559,463
Factor Arrows
329,519,821
Factor Arrows
37797,833

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, 37, 797833

We can check our work by multiplying all of the prime factors together: 3 x 3 x 37 x 797,833 = 265,678,389

This can also be written as 32 x 371 x 797,8331 = 265,678,389

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


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