Q: What are the prime factors of the number 23,764,671?

 A: 3, 7, 4657

Why are those the prime factors of the number 23,764,671?

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 23,764,671

23,764,671
Factor Arrows
37,921,557
Factor Arrows
32,640,519
Factor Arrows
3880,173
Factor Arrows
3293,391
Factor Arrows
397,797
Factor Arrows
332,599
Factor Arrows
74,657

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:

3, 7, 4657

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 7 x 4,657 = 23,764,671

This can also be written as 36 x 71 x 4,6571 = 23,764,671

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


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