Q: What are the prime factors of the number 23,943,798?

 A: 2, 3, 1330211

Why are those the prime factors of the number 23,943,798?

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 23,943,798

23,943,798
Factor Arrows
211,971,899
Factor Arrows
33,990,633
Factor Arrows
31,330,211

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, 1330211

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 1,330,211 = 23,943,798

This can also be written as 21 x 32 x 1,330,2111 = 23,943,798

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


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