Q: What are the prime factors of the number 24,414,126?

 A: 2, 3, 11, 19, 19469

Why are those the prime factors of the number 24,414,126?

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 24,414,126

24,414,126
Factor Arrows
212,207,063
Factor Arrows
34,069,021
Factor Arrows
11369,911
Factor Arrows
1919,469

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, 11, 19, 19469

We can check our work by multiplying all of the prime factors together: 2 x 3 x 11 x 19 x 19,469 = 24,414,126

This can also be written as 21 x 31 x 111 x 191 x 19,4691 = 24,414,126

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


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