Square Root by Prime Factorization Method | Square Root | Concept Clarification | by NK Sir

Prime factorization is the process of expressing a number as the product of its prime factors. A prime factor is a prime number that divides the number exactly, without leaving a remainder.

Here's a step-by-step method to find the prime factorization of a number:

Start with the smallest prime number (2): Check if your number is divisible by 2. If it is, divide it by 2 and write down 2 as a factor. Continue dividing by 2 until the quotient is no longer divisible by 2.

Move to the next smallest prime number (3): Check if the quotient from the previous step is divisible by 3. If it is, divide by 3 and write down 3 as a factor. Continue this process with 3 until it no longer divides evenly.

Repeat with subsequent prime numbers: Continue with the next prime numbers (5, 7, 11, 13, etc.) and repeat the process until the quotient is 1.

Write down the prime factors: Once you can no longer divide by any prime numbers, the prime factorization of the original number is the product of all the prime factors you wrote down.

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