Question

Find the product of all the prime factors of $616$.

• A. $154$
• B. $300$
• C. $144$
• D. None of the above

Answer 1

The correct option is A

$154$

Explanation for the correct option:

The given number is $616$,

By the method of prime factorization,

$\begin{array}{cc}2& 616\\ 2& 308\\ 2& 154\\ 7& 77\\ 11& 11\\ & 1\end{array}$

So, $616=2\times 2\times 2\times 7\times 11$

Therefore, the prime factors of $616$ are $2,7$ and $11$.

So, the product of the prime factors of $616=2\times 7\times 11$

$\Rightarrow$ the product of the prime factors of $616=154$

Hence, option (A) is the correct option.