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What is the sum of all the factors of a perfect number is equal to the number?
Wiki User
∙ 10y ago
It is a tautological statement.
Wiki User
∙ 10y ago
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Why is 28 a perfect number?
A number is perfect if all it's factors (barring itself) sum to make the original number. In this case, the factors of 28 are 1,2,4,7 and 14. Added up, these equal 28. Thus, 28 is a perfect number.
How is 28 the perfect number?
First of all, to know if a number is abundant, deficient, or perfect, you need to know all the factors of your given number. The factors of 28 are 1,2,4,7,14, and 28. Add your proper factors -or the factors except itself- and determine if the sum of the proper factors is below (deficient), above (abundant), or the exact same amount (perfect). In this case, if you add the proper factors, it equals exactly 28. Because it is exact, it is perfect! =)
How is 8589869056 a perfect number?
It is the sum of all its factors (other than itself).
Why is 6 a perfect number?
A perfect number is an integer, the sum of whose integral factors, including 1, but excluding itself, is equal to itself. In other words, when the sum of a number's proper factors equals itself, it is called a perfect number. That means that if you add all of any given number's factors (including 1, but not itself), you get that number. 6 Factors: 1, 2, 3, 6 Sum of factors less than itself: 1 + 2 + 3 = 6 28 Factors: 1, 2, 4, 7, 14, 28 Sum of factors less than itself: 1 + 2 + 4 + 7 + 14 = 28
Is 70 a abunant or deficient or perfect?
If the sum of all a number's factors (apart from itself) is equal to the original number, then the number is perfect. If this sum is less than the number, it is deficient. If the sum is more than the number, it is abundant. The factors of 70 are: 1, 2, 5, 7, 10, 14, 35 and 70. 1+2+5+7+10+14+35 = 74. Thus the number 70 is abundant.
Is 42 a perfect number?
Use the definition of a perfect number! Add the factors; if the sum of all the factors (excluding the number itself) is equal to the number, it is a perfect number, otherwise it isn't. (Actually, the only perfect numbers less than 100 are 6, and 28.)Use the definition of a perfect number! Add the factors; if the sum of all the factors (excluding the number itself) is equal to the number, it is a perfect number, otherwise it isn't. (Actually, the only perfect numbers less than 100 are 6, and 28.)Use the definition of a perfect number! Add the factors; if the sum of all the factors (excluding the number itself) is equal to the number, it is a perfect number, otherwise it isn't. (Actually, the only perfect numbers less than 100 are 6, and 28.)Use the definition of a perfect number! Add the factors; if the sum of all the factors (excluding the number itself) is equal to the number, it is a perfect number, otherwise it isn't. (Actually, the only perfect numbers less than 100 are 6, and 28.)
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.
What are near perfect numbers?
They are numbers that are NEAR PERFECT. a near perfect number is when its factors (exept the actual number) are added up and ALMOST equal the number ex. 16x1/2x8/4x4/ so its factors are 1,2,4,8 and 16 so add them ( exept the actual number) 1+2+4+8=15 so its NEAR PERFECT and a perfect number is a number that all its factors equal to its number ex. 6-1,2,3,6 are its factors all together-1+2+3=6 those are NEAR PERFECT and PERFECT numbers
Why is 28 a perfect number?
A number is perfect if all it's factors (barring itself) sum to make the original number. In this case, the factors of 28 are 1,2,4,7 and 14. Added up, these equal 28. Thus, 28 is a perfect number.
Is 40 a perfect number?
No - forty is not a perfect number. A perfect number is a number equal to the sum of all its factors apart from itself. The closest perfect numbers to 40 in each direction are: lower: 28 higher: 496
What is the Perfect number and what is the perfect number after 28?
A perfect number is a number that is the sum of all its proper factors (that is all its factors excluding itself). The next perfect number after 28 is 496
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 perfect number of 6?
6 is a perfect number. All of its factors (1,2,3) multiply to get 6.
What are perfact numbers?
If the sum of all a number's factors (factors that are smaller than the number itself) is equal to the number itself, the number is said to be "perfect". For example, the factors of 6 (excluding 6 itself) are 1, 2, and 3; and the sum of these numbers is exactly 6. The smallest perfect numbers are 6, 28, 496, 8128. It isn't known whether the set of perfect numbers is finite or infinite. Also, it isn't known whether there are any odd perfect number; all known perfect numbers are even.
Draw algorithm and flowchart to check a number is perfct or not?
1. List all factors of number (including 1 and the number, list each factor only once even if it goes in multiple times) 2. Add up all the factors 3. If the sum is equal to twice the original number, then the original number is perfect, if not, it is not perfect.
Do all numbers have an even number of factors?
No. Perfect square numbers have an odd number of factors.
What does Abundant Deficient and perfect mean?
Abundant is a number for which the sum of all its proper factors is greater than the number itself. Deficient is a number for which the sum of all its proper factors is less than the number itself. Perfect is a number for which the sum of all its proper factors is the number itself.
