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

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

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.

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th