Q: What are the prime factors of the number 24,271,730?

 A: 2, 5, 7, 346739

Why are those the prime factors of the number 24,271,730?

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 24,271,730

24,271,730
Factor Arrows
212,135,865
Factor Arrows
52,427,173
Factor Arrows
7346,739

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, 7, 346739

We can check our work by multiplying all of the prime factors together: 2 x 5 x 7 x 346,739 = 24,271,730

This can also be written as 21 x 51 x 71 x 346,7391 = 24,271,730

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


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