Q: What are the prime factors of the number 24,866,614?

 A: 2, 17, 71, 10301

Why are those the prime factors of the number 24,866,614?

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 24,866,614

24,866,614
Factor Arrows
212,433,307
Factor Arrows
17731,371
Factor Arrows
7110,301

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, 17, 71, 10301

We can check our work by multiplying all of the prime factors together: 2 x 17 x 71 x 10,301 = 24,866,614

This can also be written as 21 x 171 x 711 x 10,3011 = 24,866,614

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


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