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Q: A number for which sum of all its factors is equal to twice the number is called?
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What number between 20 and 30 has a sum of all its proper factors equal to twice the number itself?

There aren't any numbers like that. You might be thinking of 28, which has a sum of all its factors equal to twice itself, making it a perfect number. Proper factors are a different set.


What is the number called when all its factors add up to twice the number?

multiply


Why do perfect squares have an odd number of factors?

Because the square root isn't listed twice.


Translate the difference between twice a number and four time the sum of the number and seven is equal to two?

The difference between a number x and twice y is equal to fifteen.


How can you prove that a perfect number can never be a prime number?

In a perfect number, the sum of all the factors (including the number itself) is twice the number. E.g., the sum of the factors of 6 is 1 + 2 + 3 + 6 = 12 (equal to 2 x 6). Every prime number has two factors: 1, and itself. So, the sum of the factors is only one more than the prime number itself; for any number greater than 1, this can't be twice the number. For example, the prime number 7 has the factors 1 and 7, which add up to 8.


Half of a number is equal to twice the number minus 96 What is the number?

64


A number plus twice the number is equal to three times the number?

A + 2a = 3a


How Thrice a number divided by 4 is equal to twice a number?

Simple! The number is 0.


What two prime numbers equal 44?

To find the primes that equal a number, start with any factor pair of the number and keep factoring the composite factors until all factors are prime. 44 2 x 22 2 x 2 x 11 = 44 The two prime numbers that equal 44 are 2 (twice) and 11.


Why number 33 is perfect?

It is not. A perfect number is defined as a number that is equal to twice the sum of all of its factors (or equal to all of its factors, smaller than the number itself). Perfect numbers include 6 (factors 1, 2, 3, 6) and 28 (factors 1, 2, 4, 7, 14, 28). It is not known whether there are odd perfect numbers. - Unless somebody is using a different definition of "perfect" in this case; but when you talk about a "perfect number", the above definition is commonly used.


9 less than twice a number is equal to that number?

um, 9.


Why does a square number always have an odd number of factors?

Factors can be listed as factor pairs. With square numbers, one of those pairs will be the same number twice. When written as a list, only one of them will be used, leaving an odd number of factors.