Q: What are the prime factors of the number 8,673,824?

 A: 2, 271057

Why are those the prime factors of the number 8,673,824?

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 8,673,824

8,673,824
Factor Arrows
24,336,912
Factor Arrows
22,168,456
Factor Arrows
21,084,228
Factor Arrows
2542,114
Factor Arrows
2271,057

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, 271057

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 271,057 = 8,673,824

This can also be written as 25 x 271,0571 = 8,673,824

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


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