Best Answer

An example - the divisors of 28 are 1 -2 - 4 - 7 - 14 and 28. In other words 1+2+4+7+14 = 28

Q: What are perfect divisors?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

It isn't a perfect number.A perfect number is a number which is the sum of its proper divisors (including 1, but excluding itself).The divisors of 20 are 1, 2, 4, 5, 10.1 + 2 + 4 + 5 + 10 = 22 => 20 is not a perfect number.An example of a perfect number is 28:The divisors of 28 are 1, 2, 4, 7, 141 + 2 + 4 + 7 + 14 = 28 => 28 is a perfect number.

abundant since sum of divisors is 16256

First, you want to know the definition of a perfect number: A perfect number is an integer which is equal to the sum of all its positive integer divisors that are less than itself. Example: The positive integer divisors of 6, less than 6, are 1, 2, and 3. The sum of those divisors is 1 + 2 + 3 = 6. Therefore, 6 is a perfect number. Now, 21 does not meet this definition and therefore is not a perfect number. Let's try it. There are three positive divisors of 21, namely, 1, 3, and 7, that are less than 21, itself. (There are no others.) But the sum of these divisors is 1 + 3 + 7 = 11, which is not equal to 21. Therefore, we confirm that 21 is not a perfect number.

Find the sum of the proper divisors of that number.a perfect number equals the sum of its proper divisorsa deficient number is greater than the sum of its proper divisorsan abundant number is less than the sum of its proper divisors

Prime numbers have two factors. The sum of their proper divisors is always 1.

Related questions

A perfect number is the sum of its divisors; for example 6 is a perfect number because the sum of its divisors is 6 (1 + 2 + 3). The sum of the divisors of 8 is 7 (1 + 2 + 4), so 8 is not a perfect number.

A perfect number equals the sum of its proper divisors. A deficient number is greater than the sum of its proper divisors. An abundant number is less than the sum of its proper divisors. Proper divisors of a number do not include the number itself.

a perfect number is defined as a positive integer which is the sum of its proper positive divisors, that is, the sum of the positive divisors excluding the number itself 137,438,691,328 is the 7th perfect number.

A perfect number is equal to the sum of its proper divisors (the factors excluding the number itself.) 6 is a perfect number. Its proper divisors are 1, 2 and 3.

In math a picture perfect number is a number which is the sum of its proper divisors.

A perfect number is only classified as a perfect number because all of its proper divisors add up to itself. For example, the proper divisors of six are one, two and three. Those numbers added together equal six. Therefore, six is a perfect number.

It isn't a perfect number.A perfect number is a number which is the sum of its proper divisors (including 1, but excluding itself).The divisors of 20 are 1, 2, 4, 5, 10.1 + 2 + 4 + 5 + 10 = 22 => 20 is not a perfect number.An example of a perfect number is 28:The divisors of 28 are 1, 2, 4, 7, 141 + 2 + 4 + 7 + 14 = 28 => 28 is a perfect number.

abundant since sum of divisors is 16256

First, you want to know the definition of a perfect number: A perfect number is an integer which is equal to the sum of all its positive integer divisors that are less than itself. Example: The positive integer divisors of 6, less than 6, are 1, 2, and 3. The sum of those divisors is 1 + 2 + 3 = 6. Therefore, 6 is a perfect number. Now, 21 does not meet this definition and therefore is not a perfect number. Let's try it. There are three positive divisors of 21, namely, 1, 3, and 7, that are less than 21, itself. (There are no others.) But the sum of these divisors is 1 + 3 + 7 = 11, which is not equal to 21. Therefore, we confirm that 21 is not a perfect number.

A perfect number is a number which is the sum of it's positive proper divisors. 214 has divisors: 1, 2, 107 1 + 2 + 107 = 110 != 214 Thus 214 is not a perfect number The first 4 perfect numbers are: 6, 28, 496 and 8128.

A perfect number is a number, which, when adding all of its proper divisors (all divisors except himself) give the number itself Divisors of 6: 1,2,3 ------>1+2+3=6 The next proper number is 28 Divisors of 28:1,2,4,7,14 -------> 1+2+4+7+14=28 All perfect numbers found so far are found using this formula: 2^(p-1)*((2^p)-1), where p, and ((2^p)-1) are prime numbers

Find the sum of the proper divisors of that number.a perfect number equals the sum of its proper divisorsa deficient number is greater than the sum of its proper divisorsan abundant number is less than the sum of its proper divisors