Prime Factors of 32767

Steps to find Prime Factors of 32767 by Division Method

To find the primefactors of 32767 using the division method, follow these steps:

• Step 1. Start dividing 32767 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 32767, which is 7. Divide 32767 by 7 to obtain the quotient (4681).
  32767 ÷ 7 = 4681
• Step 3. Repeat step 1 with the obtained quotient (4681).
  4681 ÷ 31 = 151
  151 ÷ 151 = 1

So, the prime factorization of 32767 is, 32767 = 7 x 31 x 151.

Steps to find Prime Factors of 32767 by Factor Tree Method

We can follow the same procedure using the factor tree of 32767 as shown below:

So, the prime factorization of 32767 is, 32767 = 7 x 31 x 151.

How do you define Prime Factors of a number?

Prime numbers, in mathematics are all those natural numbers greater than 1 that have exactly 2 factors which are 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 32767 are 7 x 31 x 151.

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 32767 but not a prime factor of 32767.

Frequently Asked Questions

• Which is the smallest prime factor of 32767?

  Smallest prime factor of 32767 is 7.

• What are the factors of 32767?

  Factors of 32767 are 1 , 7 , 31 , 151 , 217 , 1057 , 4681 , 32767.

• What is prime factorization of 32767 in exponential form?

  Prime factorization of 32767 in exponential form is 7 x 31 x 151.

• Is 32767 a prime number or a composite number?

  32767 is a composite number.

• Is 32767 a prime number?

  false, 32767 is not a prime number.

• What is the sum of all prime factors of 32767?

  Prime factors of 32767 are 7 x 31 x 151. Therefore, their sum is 189.

• What is the product of all prime factors of 32767?

  Prime factors of 32767 are 7 x 31 x 151. Therefore, their product is 32767.

• What numbers are the prime factors of 32767?

  Prime factors of 32767 are 7 , 31 , 151.

• What is the sum of all odd prime factors of 32767?

  Prime factors of 32767 are 7 , 31 , 151, out of which 7 , 31 , 151 are odd numbers. So, the sum of odd prime factors of 32767 is 7 + 31 + 151 = 189.