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Q: What is the sum of all positive integer divisors of 648?
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Why 21 is not a perfect number?

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.


What are all the perfect numbers 1 - 300?

-299


What are the perfection numbers?

A number is considered perfect if it is equal to the sum of all its positive factors/divisors, excluding itself. These are the first few perfect numbers: * 6 * 28 * 496 * 8128 * 33550336 * 8589869056A perfect number is a positive integer that is equal to the sum of its positive divisors, excluding the number itself. An example 1+2+3=6 and 1x2x3=6


What is the sum of all the positive divisors of 72?

The sum is 195.


What number is not a prime or composite?

By definition, every integer greater than one is either a prime or a composite number. Indeed, a composite number is defined to be a positive integer which has a positive divisor other than one or itself. And a prime number is defined to be a integer greater than one which has the contrary property (exactly two divisors - one and itself). So any number greater than one is either composite or prime. Among the natural numbers, it remains the number 1, which is neither composite nor prime. 0 is composite, since has all positive integer as divisors.


Are all numbers that have a 2 in the ones place composite numbers?

Yes, all numbers that have 2 in the one's place are composite numbers. In fact, all even numbers except for 2 itself are composite numbers.


All the positive divisors of 352?

352 has 12 positive divisors: 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352.


Are decimals positive integers or negative integers?

A decimal can be a positive integer or a negative integer or neither of the above. For example: 26.0 is a positive integer. -52.0 is a negative integer. 26.2 is not an integer at all. 0.0 is an integer, but is neither positive nor negative.


Is a negative integer bigger then a positive integer?

no, all negative numbers are smaller than positive numbers


What are common multiples of 512 and 648?

They are all the numbers in the set {41472*k, where k is an integer}.


What is a positive divisor?

A divisor is another name for a factor. All counting numbers have divisors. In the equation 3 x 4 = 12, 3 and 4 are divisors of 12. -3 x -4 also equals 12, so some people distinguish between positive and negative divisors. A positive divisor is a divisor that is a positive number.


Does a positive integer multiplied by a negative integer equal a negative integer?

All negative integers, when multiplied by a positive integer, or vice versa, will result in a negative integer. I. E. 5*-5=-25