Problem

Determine whether or not the number 4 is a factor of $\mathbf{2 , 8 7 1}$.

Answer

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Answer

\(\boxed{\text{Final Answer: 4 is not a factor of 2871.}}\)

Steps

Step 1 :To determine if a number is a factor of another, we can use the modulus operation. The modulus operation returns the remainder of a division operation. If the remainder is 0, then the number is a factor. In this case, we need to check if 2871 divided by 4 gives a remainder of 0.

Step 2 :Let's denote the number as \(num\) and the potential factor as \(factor\). So, \(num = 2871\) and \(factor = 4\).

Step 3 :We perform the modulus operation: \(num \mod factor\). If the result is 0, then \(factor\) is a factor of \(num\). If the result is not 0, then \(factor\) is not a factor of \(num\).

Step 4 :Performing the operation, we find that the result is not 0. Therefore, we can conclude that 4 is not a factor of 2871.

Step 5 :\(\boxed{\text{Final Answer: 4 is not a factor of 2871.}}\)

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