Q: What are the prime factors of the number 23,900,960?

 A: 2, 5, 149381

Why are those the prime factors of the number 23,900,960?

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 23,900,960

23,900,960
Factor Arrows
211,950,480
Factor Arrows
25,975,240
Factor Arrows
22,987,620
Factor Arrows
21,493,810
Factor Arrows
2746,905
Factor Arrows
5149,381

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, 149381

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 149,381 = 23,900,960

This can also be written as 25 x 51 x 149,3811 = 23,900,960

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


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