Question

paul has 26 subscribers to his video channel. he says this is exactly 4 times as many as he had last week. can paul be correct? yes, because paul could be really popular. yes, because 4 and 26 are both even. no, because we do not know how many subscribers paul had last week. no, because 4 is not a factor of 26.

Explanation:

Step1: Analyze the problem

We need to check if 26 is exactly 4 times the number of subscribers Paul had last week. Let the number of subscribers last week be \( x \). Then the equation would be \( 4x = 26 \).

Step2: Check divisibility

To see if \( x \) is an integer (since the number of subscribers must be a whole number), we check if 26 is divisible by 4. We know that a number \( a \) is divisible by \( b \) if \( \frac{a}{b} \) is an integer. Calculating \( \frac{26}{4} = 6.5 \), which is not an integer. So 4 is not a factor of 26, meaning \( x \) would not be a whole number, so Paul can't be correct.

Answer:

No, because 4 is not a factor of 26. (The option: No, because 4 is not a factor of 26.)