Q: What are the prime factors of the number 23,062,460?

 A: 2, 5, 1153123

Why are those the prime factors of the number 23,062,460?

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 23,062,460

23,062,460
Factor Arrows
211,531,230
Factor Arrows
25,765,615
Factor Arrows
51,153,123

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, 1153123

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 1,153,123 = 23,062,460

This can also be written as 22 x 51 x 1,153,1231 = 23,062,460

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


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