Q: What are the prime factors of the number 6,182,464?

 A: 2, 96601

Why are those the prime factors of the number 6,182,464?

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 6,182,464

6,182,464
Factor Arrows
23,091,232
Factor Arrows
21,545,616
Factor Arrows
2772,808
Factor Arrows
2386,404
Factor Arrows
2193,202
Factor Arrows
296,601

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, 96601

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 96,601 = 6,182,464

This can also be written as 26 x 96,6011 = 6,182,464

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


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