Q: What are the prime factors of the number 24,846?

 A: 2, 3, 41, 101

Why are those the prime factors of the number 24,846?

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 24,846

24,846
Factor Arrows
212,423
Factor Arrows
34,141
Factor Arrows
41101

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, 41, 101

We can check our work by multiplying all of the prime factors together: 2 x 3 x 41 x 101 = 24,846

This can also be written as 21 x 31 x 411 x 1011 = 24,846

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


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