Q: What are the prime factors of the number 21,847,494?

 A: 2, 3, 67, 54347

Why are those the prime factors of the number 21,847,494?

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 21,847,494

21,847,494
Factor Arrows
210,923,747
Factor Arrows
33,641,249
Factor Arrows
6754,347

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, 67, 54347

We can check our work by multiplying all of the prime factors together: 2 x 3 x 67 x 54,347 = 21,847,494

This can also be written as 21 x 31 x 671 x 54,3471 = 21,847,494

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


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