Q: What are the prime factors of the number 24,256,032?

 A: 2, 3, 252667

Why are those the prime factors of the number 24,256,032?

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 24,256,032

24,256,032
Factor Arrows
212,128,016
Factor Arrows
26,064,008
Factor Arrows
23,032,004
Factor Arrows
21,516,002
Factor Arrows
2758,001
Factor Arrows
3252,667

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, 3, 252667

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 252,667 = 24,256,032

This can also be written as 25 x 31 x 252,6671 = 24,256,032

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


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