Question

use the × button or type the * key on your keyboard. for exponents, use the ( a^b ) button or the ^ key on your keyboard. if a number is prime, enter the number itself.
answer attempt 1 out of 2
( 363 = square \times square^b ) (with submit answer button)

Explanation:

Step1: Check divisibility of 363

First, we check if 363 is divisible by small prime numbers. We start with 3. The sum of the digits of 363 is \(3 + 6 + 3=12\), and since 12 is divisible by 3, 363 is divisible by 3.

Step2: Divide 363 by 3

\(363\div3 = 121\). Now we check 121. We know that \(11\times11 = 121\) (since \(11^{2}=121\)).

Step3: Write prime factorization

So the prime factorization of 363 is \(3\times11\times11\) or \(3\times11^{2}\).

Answer:

\(3\times11^{2}\)