Q: What are the prime factors of the number 784?

 A: 2, 7

Why are those the prime factors of the number 784?

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 784

784
Factor Arrows
2392
Factor Arrows
2196
Factor Arrows
298
Factor Arrows
249
Factor Arrows
77

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, 7

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 7 = 784

This can also be written as 24 x 72 = 784

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 784:


Ask a Question