Question

Prime factorization of $3136$

Answer 1

Step-1: Determine the prime factorization of $3136$:

A prime number is one that only has two factors: one and the number itself.
Finding which prime numbers multiply to produce the original number is known as "prime factorization."

$\begin{array}{rcl}3136& =& 2\times 1568\\ & =& 2\times 2\times 784\\ & =& 2\times 2\times 2\times 392\\ & =& 2\times 2\times 2\times 2\times 196\\ & =& 2\times 2\times 2\times 2\times 2\times 98\\ & =& 2\times 2\times 2\times 2\times 2\times 2\times 49\\ & =& 2\times 2\times 2\times 2\times 2\times 2\times 7\times 7\\ & =& 2^6\times 7^2\end{array}$

Hence, the prime factorization of $3136$ is $2^6$ $\times$ $7^2$.