Q: What are the prime factors of the number 23,722,150?

 A: 2, 5, 474443

Why are those the prime factors of the number 23,722,150?

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 23,722,150

23,722,150
Factor Arrows
211,861,075
Factor Arrows
52,372,215
Factor Arrows
5474,443

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, 474443

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 474,443 = 23,722,150

This can also be written as 21 x 52 x 474,4431 = 23,722,150

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


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