Q: What are the prime factors of the number 23,550,552?

 A: 2, 3, 29, 11279

Why are those the prime factors of the number 23,550,552?

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 23,550,552

23,550,552
Factor Arrows
211,775,276
Factor Arrows
25,887,638
Factor Arrows
22,943,819
Factor Arrows
3981,273
Factor Arrows
3327,091
Factor Arrows
2911,279

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, 29, 11279

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 29 x 11,279 = 23,550,552

This can also be written as 23 x 32 x 291 x 11,2791 = 23,550,552

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


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