Q: What are the prime factors of the number 945,724?

 A: 2, 13, 1399

Why are those the prime factors of the number 945,724?

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 945,724

945,724
Factor Arrows
2472,862
Factor Arrows
2236,431
Factor Arrows
1318,187
Factor Arrows
131,399

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, 13, 1399

We can check our work by multiplying all of the prime factors together: 2 x 2 x 13 x 13 x 1,399 = 945,724

This can also be written as 22 x 132 x 1,3991 = 945,724

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 945,724:


Ask a Question