Questions: Is 3 a factor of 77? Show the whole on the place value chart. hundreds tens ones - + - %

Transcript text: Is 3 a factor of $77 ?$ Show the whole on the place value chart. \begin{tabular}{|c|c|c|} \hline hundreds & tens & ones \\ $-\&$ & + & $-\%$ \\ \hline & & \\ \hline \end{tabular}

Solution

Solution Steps

Step 1: Check if 3 is a factor of 77

To determine if 3 is a factor of 77, we check if 77 is divisible by 3. A number is divisible by 3 if the sum of its digits is divisible by 3.

Sum of digits of 77: $ 7 + 7 = 14 $.
Since 14 is not divisible by 3, 77 is not divisible by 3.

Step 2: Represent 77 on the place value chart

The number 77 has 7 tens and 7 ones. The place value chart is filled as follows:
\[ \begin{tabular}{|c|c|c|} \hline hundreds & tens & ones \\ \hline 0 & 7 & 7 \\ \hline \end{tabular} \]

Hundreds place: 0
Tens place: 7
Ones place: 7

Step 3: Verify the place value chart

The place value chart correctly represents 77 as $ 0 $ hundreds, $ 7 $ tens, and $ 7 $ ones. This confirms the representation is accurate.

Final Answer

No, 3 is not a factor of 77. The place value chart for 77 is: \[ \begin{tabular}{|c|c|c|} \hline hundreds & tens & ones \\ \hline 0 & 7 & 7 \\ \hline \end{tabular} \]

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