Q: What are the prime factors of the number 23,310,544?

 A: 2, 113, 12893

Why are those the prime factors of the number 23,310,544?

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 23,310,544

23,310,544
Factor Arrows
211,655,272
Factor Arrows
25,827,636
Factor Arrows
22,913,818
Factor Arrows
21,456,909
Factor Arrows
11312,893

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, 113, 12893

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 113 x 12,893 = 23,310,544

This can also be written as 24 x 1131 x 12,8931 = 23,310,544

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


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