B)
$$
\begin{array}{r|r|r}
4900 & 2 \
2450 & 2 \
2225 & 3 \
425 & 3 \
\hline
\end{array}
$$

Question

Accepted Answer

It seems you're presenting a table that is possibly part of a prime factorization process or division steps. However, the given information is incomplete for a direct interpretation. Based on the structure, it looks like numbers are being divided by their smallest prime factors in each step. Let's interpret and continue the process as if it's aimed at prime factorization.

1. **Starting with 4900**:
    - 4900 is divided by 2 to get 2450.
    - Then, 2450 is divided by 2 again to get 1225.
  
2. **At 1225**:
    - The table incorrectly jumps from 2450 to 2225, which seems to be a typo. After dividing 2450 by 2, we should actually get 1225.
    - 1225 is divisible by 5 (not 3, as indicated). It seems there's a mistake in the progression. Let's correct it:
    
    $$
    \begin{array}{r|r}
    \text{Number} & \text{Prime Factor} \
    \hline
    4900 & 2 \
    2450 & 2 \
    1225 & 5 \
    \end{array}
    $$
    
    - 1225 divided by 5 gives 245.
    
    $$
    \begin{array}{r|r}
    \text{Number} & \text{Prime Factor} \
    \hline
    4900 & 2 \
    2450 & 2 \
    1225 & 5 \
    245 & 5 \
    \end{array}
    $$
    
    - 245 divided by 5 gives 49.
    
    $$
    \begin{array}{r|r}
    \text{Number} & \text{Prime Factor} \
    \hline
    4900 & 2 \
    2450 & 2 \
    1225 & 5 \
    245 & 5 \
    49 & 7 \
    \end{array}
    $$
    
    - Finally, 49 divided by 7 gives 7.
    
    $$
    \begin{array}{r|r}
    \text{Number} & \text{Prime Factor} \
    \hline
    4900 & 2 \
    2450 & 2 \
    1225 & 5 \
    245 & 5 \
    49 & 7 \
    7 & 7 \
    \end{array}
    $$
    
    - Since we've reached a prime number (7) and cannot divide further meaningfully in this context, we stop here.

So, the corrected prime factorization of 4900, based on the method you seem to be using, would be:

$$ 4900 = 2^2 \times 5^2 \times 7^2 $$

This means 4900 is composed of the prime numbers 2, 5, and 7, each raised to the power of 2.

B) \[ \begin{array}{r|r|r} 4900 & 2 \\ 2450 & 2 \\ 2225 & 3 \\ 425 & 3 \\ \hline \end{array} \]