If the sum of the factors of a number is 28, which of the following could be the

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Question: If the sum of the factors of a number is 28, which of the following could be the number?

Options:

Correct Answer: 12

Solution:

The factors of 12 are 1, 2, 3, 4, 6, and 12. Their sum is 28.

If the sum of the factors of a number is 28, which of the following could be the number?

If the sum of the factors of a number is 28, which of the following could be the number?

Step 1: Understand what factors are. Factors of a number are the numbers that can be multiplied together to get that number.
Step 2: Find the factors of the number 12. The factors are 1, 2, 3, 4, 6, and 12.
Step 3: Add the factors together. Calculate 1 + 2 + 3 + 4 + 6 + 12.
Step 4: Perform the addition: 1 + 2 = 3, 3 + 3 = 6, 6 + 4 = 10, 10 + 6 = 16, 16 + 12 = 28.
Step 5: Check if the sum of the factors equals 28. Since it does, 12 is a possible number.

Sum of Factors – Understanding how to calculate the sum of all positive divisors of a number.
Divisor Function – Knowledge of how to identify and list the factors of a number.
Number Properties – Recognizing properties of numbers that can lead to specific sums of factors.