Sum of non-prime positive divisors of 450 is ____.

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Detailed Solution

Concept: Sum of non-prime positive divisors of 450 is 1199.
To solve this question, we need to know what are Prime and Non-Prime Numbers as    well as Positive and Negative Integers.
A prime number is such a number that has exactly two factors, 1 and itself, i.e., it can be   divided by only the number ‘1’ and itself.
Any number which is “not a Prime” number is known as a Non-Prime Number.
A divisor is a number which can exactly divide another number, without any remainder. A divisor greater than 0 is known as a positive divisor and one less than zero is known as a   negative divisor.
Here, we have to find out all the divisors of 450 and then identify which of them are positive, non-prime numbers. We will then need to add those numbers to obtain our desired answer. All the factors or divisors of 450 are as follows:

, i.e, 450 when divided by any of these numbers give a whole number as quotient and no remainders.
Out of these, however,

are prime numbers. Hence, the rest are non-prime numbers.
Then, the summation of the positive, non-prime divisors of 450

Hence, the correct answer is 1199.

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