Q: What are the prime factors of the number 24,323,080?

 A: 2, 5, 151, 4027

Why are those the prime factors of the number 24,323,080?

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 24,323,080

24,323,080
Factor Arrows
212,161,540
Factor Arrows
26,080,770
Factor Arrows
23,040,385
Factor Arrows
5608,077
Factor Arrows
1514,027

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, 5, 151, 4027

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 151 x 4,027 = 24,323,080

This can also be written as 23 x 51 x 1511 x 4,0271 = 24,323,080

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


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