Why is the number '6' known as the first perfect number?

Answer 1

A perfect number is a positive integer n such that the sum of its divisors < n add up to n. Notice that the proper divisors 0f 6 are 1, 2, and 3, and their sum is 6.

You can easily check that none of the numbers 1 to 5 have that property, so 6 is the smallest perfect number.

The next perfect number is 28. All the even perfect numbers have the form (2^(p - 1))*(2^p - 1) , where both p and 2^p - 1 are prime.

Answer 2

The number 6 has three proper divisors, 1, 2, and 3.
1 + 2 + 3 = 6. This is the definition of a perfect number. A positive integer who is the sum of it's proper divisors. 6 is the first positive integer where this is the case.

Answer 3

Hey there!

A perfect number is any number, whose factors sum up to the number itself.

The factors of six are 1, 2, 3 and 6. If we exclude 6, the sum, 1, 2 and 3, will be 6.

This is why 6 is the smallest perfect number.

Hope it helps!

Answer 4

a perfect number is one in which the sum of it's divisors equal that number

ex. the divisors of 6 are : 1, 2, 3 = their sum equals 6

of all the perfect numbers six is the lowest or first

Answer 5

6 isn't the only perfect number. Perfect numbers are those such that their factors (excluding themselves) add up to the original number. With 6, 1 + 2 + 3 (the factors of 6) = 6.

Answer 6

It is the sum of it's proper divisors: 1, 2, and 3

Answer 7

perfect numbers are numbers whose factor(excepting the number itself) add upto the number itself.
So if we see 6, its factors are 1,2,3,6
barring the factor 6 if we add up the rest of the factors we get 6
1+2+3=6
and 6 is the smallest number to show that property