### Brain Teasers

# What's "Purrfect"?

"I'm 'purrfect'", purred Six, digging her claws into the top of the fence. "They call me Six because 6 is a 'purrfectly' perfect number."

"What's so perfect about it?" meowed the long-hair from the next yard.

"There's something special about 6 that makes it just perfect. Only a good thinker can figure it out!"

Six is right. 6 is called a perfect number. Figure out why. Then find the next greater perfect number!

"What's so perfect about it?" meowed the long-hair from the next yard.

"There's something special about 6 that makes it just perfect. Only a good thinker can figure it out!"

Six is right. 6 is called a perfect number. Figure out why. Then find the next greater perfect number!

### Hint

Think about the factors of 6. See what happens when you add or multiply all of them (except for 6 itself) together.### Answer

A perfect number is equal to the sum of all its whole number factors, except itself. So, 6 is a perfect number because the sum of its whole number factors, except itself, is 6 (1 + 2 + 3 = 6). The next greater perfect number is 28 because the sum of its whole number factors, except itself, 1, 2, 4, 7, and 14 add up to 28.Hide Hint Show Hint Hide Answer Show Answer

## What Next?

View a Similar Brain Teaser...

If you become a registered user you can vote on this brain teaser, keep track of which ones you have seen, and even make your own.

### Solve a Puzzle

Comments hidden to avoid spoilers.

## Follow Braingle!