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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.
Is the number 16 an abundant number?
Yes, the number 16 is an abundant number because the sum of its proper divisors (1, 2, and 4) is greater than the number itself (16).
Is 76 an abundant deficient or perfect?
Abundant, deficient and perfect numbers are determined by the sum of the proper divisors (or factors) of a number, which excludes the number itself. The factors of 76 are : 1,2,4,19,38,76 . . . after excluding the number itself the sum of the proper divisors is :- 1+2+4+19+38= 64 Deficient numbers occur when the sum of the proper divisors is less than the number itself. As 64 is less that 76 then it is deficient.
Is 10 a abundant numbER AND why?
Ten is not abundant because the sum of its proper factors is less than itself.
What is the next number greater than 50 for which the sum of its proper factors is 1 less than the number itself?
64.
What are the proper factors of the number 126?
The proper factors of a number are all the factors less than itself, so the proper factors of 126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, and 63. In some cases, the number 1 is excluded from the list of proper factors, too.
The sum of the proper factors of 4 is less than 4 List all the numbers through 50 for which the sum of its proper factors is one less than the number itself?
The numbers for which the sum of its proper factors is 1 less than the number is the powers of 2; less than 50 these are: 2, 4, 8, 16 & 32.
What do you think is the next number greater than 50 for which the sum of its proper factors is less than the number itself?
I think it's 51.
When multiplying proper fractions why is the product less than the both factors?
A proper fraction is less than 1. Any positive number multiplied by a positive number less 1 will be less than itself. In multiplying two proper fractions, each one is being multiplied by a number less than 1.
What do you think is the next number greater than 50 for which the sum of its proper factors is 1 less than the number itself?
I think it's the number 64.
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
What is the first number greater than 50 that the sum of its proper factors is 1 less than the number itself?
It is 496.496 = 24*31 so its proper factors are 2, 4, 8, 16, 31, 62, 124 and 248. Their sum is 495.
