Q: What are the prime factors of the number 23,876,846?

 A: 2, 7, 47, 131, 277

Why are those the prime factors of the number 23,876,846?

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 23,876,846

23,876,846
Factor Arrows
211,938,423
Factor Arrows
71,705,489
Factor Arrows
4736,287
Factor Arrows
131277

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, 7, 47, 131, 277

We can check our work by multiplying all of the prime factors together: 2 x 7 x 47 x 131 x 277 = 23,876,846

This can also be written as 21 x 71 x 471 x 1311 x 2771 = 23,876,846

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


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