Q: What are the prime factors of the number 271,352?

 A: 2, 107, 317

Why are those the prime factors of the number 271,352?

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 271,352

271,352
Factor Arrows
2135,676
Factor Arrows
267,838
Factor Arrows
233,919
Factor Arrows
107317

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, 107, 317

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 107 x 317 = 271,352

This can also be written as 23 x 1071 x 3171 = 271,352

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 271,352:


Ask a Question