Question

Find the sequential order of steps to find the square root of $n$ by prime factorization method.
(A) The product of the primes is the square root of $n$.
(B) Divide $n$ into the prime factors.
(C) Pair the similar factors such that factors in each pair are equal.
(D) Take out one prime from each pair.

• A. $\mathrm{ABCD}$
• B. BCAD
• C. CDBA
• D. BCDA

Answer 1

Answer: (B)

Suppose $n=16$
At first we find out the prime factor of 16
$16=2\times 2\times 2\times 2$....(B)
Now, making pairs
$2\times 2,2\times 2$....(C)
Choose one factor from the pairs will be $2\times 2=4$...(D)
Hence, square root of 16 will be 4 ....(A)