Q: What are the prime factors of the number 23,124,068?

 A: 2, 11, 47777

Why are those the prime factors of the number 23,124,068?

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 23,124,068

23,124,068
Factor Arrows
211,562,034
Factor Arrows
25,781,017
Factor Arrows
11525,547
Factor Arrows
1147,777

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, 11, 47777

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 11 x 47,777 = 23,124,068

This can also be written as 22 x 112 x 47,7771 = 23,124,068

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


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