Q: What are the prime factors of the number 25,464,016?

 A: 2, 239, 6659

Why are those the prime factors of the number 25,464,016?

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 25,464,016

25,464,016
Factor Arrows
212,732,008
Factor Arrows
26,366,004
Factor Arrows
23,183,002
Factor Arrows
21,591,501
Factor Arrows
2396,659

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, 239, 6659

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 239 x 6,659 = 25,464,016

This can also be written as 24 x 2391 x 6,6591 = 25,464,016

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


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