Q: What are the prime factors of the number 43,660,647?

 A: 3, 23, 167, 421

Why are those the prime factors of the number 43,660,647?

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 43,660,647

43,660,647
Factor Arrows
314,553,549
Factor Arrows
34,851,183
Factor Arrows
31,617,061
Factor Arrows
2370,307
Factor Arrows
167421

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, 23, 167, 421

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 23 x 167 x 421 = 43,660,647

This can also be written as 33 x 231 x 1671 x 4211 = 43,660,647

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


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