Prime Factorisation of:- 753

Divide by 2: Start by dividing 753 by the smallest prime number, which is 2. Since 753 is an odd number, it is not divisible by 2. We move on to the next smallest prime number, which is 3.Divide by 3: Divide 753 by 3 to see if it is divisible by 3. 753 ÷ 3 = 251 Since 753 is divisible by 3, we have found the first prime factor.Check Prime Factor: Determine if 251 is a prime number or if it can be divided further. By checking divisibility rules and attempting division by prime numbers less than its square root (which is approximately 15.8), we find that 251 cannot be divided evenly by any of them (2, 3, 5, 7, 11, 13). Therefore, 251 is a prime number.Write Prime Factorization: Write down the prime factorization of 753. Since 753 is divisible by 3 and 251 is a prime number, the prime factorization of 753 is 3 × 251.

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Prime Factorisation of:- $\newline$ $753$

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Q. Prime Factorisation of:-

\newline

753

Divide by $2$ : Start by dividing $753$ by the smallest prime number, which is $2$ . $\newline$ Since $753$ is an odd number, it is not divisible by $2$ . We move on to the next smallest prime number, which is $3$ .
Divide by $3$ : Divide $753$ by $3$ to see if it is divisible by $3$ . $\newline$ $753 \div 3 = 251$ $\newline$ Since $753$ is divisible by $3$ , we have found the first prime factor.
Check Prime Factor: Determine if $251$ is a prime number or if it can be divided further. $\newline$ By checking divisibility rules and attempting division by prime numbers less than its square root (which is approximately $15.8$ ), we find that $251$ cannot be divided evenly by any of them ( $2$ , $3$ , $5$ , $7$ , $11$ , $13$ ). $\newline$ Therefore, $251$ is a prime number.
Write Prime Factorization: Write down the prime factorization of $753$ . Since $753$ is divisible by $3$ and $251$ is a prime number, the prime factorization of $753$ is $3 \times 251$ .