• # Factors and Perfect Numbers

Factors of a number N are numbers that are less than or equal to the number N which, when some of them are multiplied together, give the number N.
Example: The factors of 6 are 1,2,3 and 6. When 2 and 3 are multiplied together, they give 6 and so do 1 and 6 when multiplied together.

A Perfect Number is a number N whose factors that are less than itself add to the same number N.
Example: The factors of 6 are 1,2,3,6. The factors that are less than 6 are 1,2 and 3. Adding 1 + 2 + 3 = 6. This makes 6 a perfect number.
Very few perfect numbers exist, as can be verified here.

### Factors and Perfect Numbers Tool

Use the following program to find all factors of numbers between any two numbers.
If any of the numbers is found to be a perfect number, its container box in the Number column will be shaded red. The boxes shaded silver in the Factors column contain prime numbers.
At the end of each row, the number shown is the number of factors for the number in the Number column

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### Factors & Perfect Numbers

Find all factors of each number & Perfect numbers

 Between A: And B:

### Results

 Perfect Nums All Factors + ** for Perfect