The number 2022 is divisible by two numbers between 100 and 1000. What is their sum. with full solution

The two numbers that divide 2022 are 101 and 19.

101 + 19 = 120

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Did you know?

Did you know that finding the sum of the two numbers may seem challenging, but it can be solved using the concepts of divisibility and basic arithmetic? To begin, we know that the number 2022 is divisible by two numbers between 100 and 1000. By dividing 2022 by different numbers within this range, we can identify the two numbers that result in a whole number quotient. Let's say we divide 2022 by 169, and it gives us a remainder of 99. This means that 169 is not one of the two numbers we're looking for. However, if we divide 2022 by 338, we get a quotient of 6 with no remainder. Therefore, 338 is one of the two numbers. Now, to find the other number, we simply divide 2022 by 338, which gives us 6. Hence, the sum of these two numbers is 338 + 6 = 344.