Prime Factors of 963

Steps to find Prime Factors of 963 by Division Method

To find the primefactors of 963 using the division method, follow these steps:

• Step 1. Start dividing 963 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 963, which is 3. Divide 963 by 3 to obtain the quotient (321).
  963 ÷ 3 = 321
• Step 3. Repeat step 1 with the obtained quotient (321).
  321 ÷ 3 = 107
  107 ÷ 107 = 1

So, the prime factorization of 963 is, 963 = 3 x 3 x 107.

Steps to find Prime Factors of 963 by Factor Tree Method

We can follow the same procedure using the factor tree of 963 as shown below:

So, the prime factorization of 963 is, 963 = 3 x 3 x 107.

What does Prime factor in mathematics mean?

Prime numbers, in mathematics are all those whole numbers greater than 1 having exactly two divisors that is 1 and the number itself. When we express any number as the product of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 963 are 3 x 3 x 107.

Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• 2 is the only even prime number. So, any given number can have only one even prime factor and that is 2.
• Two prime factors of a given number are always coprime to each other.
• 1 is neither a prime number nor a composite number and also 1 is the factor of every given number. So, 1 is the factor of 963 but not a prime factor of 963.

Frequently Asked Questions

• Which is the smallest prime factor of 963?

  Smallest prime factor of 963 is 3.

• Is 963 a perfect square?

  No 963 is not a perfect square.

• What is the prime factorization of 963?

  Prime factorization of 963 is 3 x 3 x 107.

• What is prime factorization of 963 in exponential form?

  Prime factorization of 963 in exponential form is 3² x 107.

• Is 963 a prime number?

  false, 963 is not a prime number.

• Which is the largest prime factors of 963?

  The largest prime factor of 963 is 107.

• What is the product of all prime factors of 963?

  Prime factors of 963 are 3 x 3 x 107. Therefore, their product is 963.

• What is the sum of all odd prime factors of 963?

  Prime factors of 963 are 3 , 3 , 107, out of which 3 , 3 , 107 are odd numbers. So, the sum of odd prime factors of 963 is 3 + 3 + 107 = 113.

• What is the product of all odd prime factors of 963?

  Prime factors of 963 are 3 , 3 , 107, out of which 3 , 3 , 107 are odd numbers. So, the product of odd prime factors of 963 is 3 x 3 x 107 = 963.