Q: What are the prime factors of the number 323,311,424?

 A: 2, 5051741

Why are those the prime factors of the number 323,311,424?

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 323,311,424

323,311,424
Factor Arrows
2161,655,712
Factor Arrows
280,827,856
Factor Arrows
240,413,928
Factor Arrows
220,206,964
Factor Arrows
210,103,482
Factor Arrows
25,051,741

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, 5051741

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 5,051,741 = 323,311,424

This can also be written as 26 x 5,051,7411 = 323,311,424

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


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