Q: What are the prime factors of the number 42,891,783?

 A: 3, 11, 29, 44819

Why are those the prime factors of the number 42,891,783?

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 42,891,783

42,891,783
Factor Arrows
314,297,261
Factor Arrows
111,299,751
Factor Arrows
2944,819

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, 11, 29, 44819

We can check our work by multiplying all of the prime factors together: 3 x 11 x 29 x 44,819 = 42,891,783

This can also be written as 31 x 111 x 291 x 44,8191 = 42,891,783

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


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