Q: What are the prime factors of the number 6,238,048?

 A: 2, 17, 11467

Why are those the prime factors of the number 6,238,048?

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 6,238,048

6,238,048
Factor Arrows
23,119,024
Factor Arrows
21,559,512
Factor Arrows
2779,756
Factor Arrows
2389,878
Factor Arrows
2194,939
Factor Arrows
1711,467

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, 17, 11467

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 17 x 11,467 = 6,238,048

This can also be written as 25 x 171 x 11,4671 = 6,238,048

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


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