Q: What are the prime factors of the number 23,450,076?

 A: 2, 3, 13, 89, 563

Why are those the prime factors of the number 23,450,076?

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 23,450,076

23,450,076
Factor Arrows
211,725,038
Factor Arrows
25,862,519
Factor Arrows
31,954,173
Factor Arrows
3651,391
Factor Arrows
1350,107
Factor Arrows
89563

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, 13, 89, 563

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 13 x 89 x 563 = 23,450,076

This can also be written as 22 x 32 x 131 x 891 x 5631 = 23,450,076

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


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