Q: What are the prime factors of the number 4,082,752?

 A: 2, 63793

Why are those the prime factors of the number 4,082,752?

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 4,082,752

4,082,752
Factor Arrows
22,041,376
Factor Arrows
21,020,688
Factor Arrows
2510,344
Factor Arrows
2255,172
Factor Arrows
2127,586
Factor Arrows
263,793

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, 63793

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 63,793 = 4,082,752

This can also be written as 26 x 63,7931 = 4,082,752

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


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