Q: What are the prime factors of the number 24,779,232?

 A: 2, 3, 97, 887

Why are those the prime factors of the number 24,779,232?

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 24,779,232

24,779,232
Factor Arrows
212,389,616
Factor Arrows
26,194,808
Factor Arrows
23,097,404
Factor Arrows
21,548,702
Factor Arrows
2774,351
Factor Arrows
3258,117
Factor Arrows
386,039
Factor Arrows
97887

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, 97, 887

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 3 x 97 x 887 = 24,779,232

This can also be written as 25 x 32 x 971 x 8871 = 24,779,232

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


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