Q: What are the prime factors of the number 24,726,714?

 A: 2, 3, 19, 216901

Why are those the prime factors of the number 24,726,714?

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 24,726,714

24,726,714
Factor Arrows
212,363,357
Factor Arrows
34,121,119
Factor Arrows
19216,901

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, 19, 216901

We can check our work by multiplying all of the prime factors together: 2 x 3 x 19 x 216,901 = 24,726,714

This can also be written as 21 x 31 x 191 x 216,9011 = 24,726,714

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


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