Q: What are the prime factors of the number 274,513,383?

 A: 3, 857, 35591

Why are those the prime factors of the number 274,513,383?

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 274,513,383

274,513,383
Factor Arrows
391,504,461
Factor Arrows
330,501,487
Factor Arrows
85735,591

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, 857, 35591

We can check our work by multiplying all of the prime factors together: 3 x 3 x 857 x 35,591 = 274,513,383

This can also be written as 32 x 8571 x 35,5911 = 274,513,383

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


More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 274,513,383:


Ask a Question