Q: What are the prime factors of the number 6,328,752?

 A: 2, 3, 131849

Why are those the prime factors of the number 6,328,752?

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 6,328,752

6,328,752
Factor Arrows
23,164,376
Factor Arrows
21,582,188
Factor Arrows
2791,094
Factor Arrows
2395,547
Factor Arrows
3131,849

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, 131849

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 131,849 = 6,328,752

This can also be written as 24 x 31 x 131,8491 = 6,328,752

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


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