Prime Factors of 367

Steps to find Prime Factors of 367 by Division Method

To find the primefactors of 367 using the division method, follow these steps:

• Step 1. Start dividing 367 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 367, which is 367. Divide 367 by 367 to obtain the quotient (1).
  367 ÷ 367 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 367 is, 367 = 367.

Steps to find Prime Factors of 367 by Factor Tree Method

We can follow the same procedure using the factor tree of 367 as shown below:

So, the prime factorization of 367 is, 367 = 367.

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 367 are 367.

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 367 but not a prime factor of 367.

Frequently Asked Questions

• Which is the smallest prime factor of 367?

  Smallest prime factor of 367 is 367.

• What are the factors of 367?

  Factors of 367 are 1 , 367.

• What is prime factorization of 367 in exponential form?

  Prime factorization of 367 in exponential form is 367.

• Is 367 a prime number or a composite number?

  367 is a prime number.

• Is 367 a prime number?

  true, 367 is a prime number.

• What is the sum of all prime factors of 367?

  Prime factors of 367 are 367. Therefore, their sum is 367.

• What is the product of all prime factors of 367?

  Prime factors of 367 are 367. Therefore, their product is 367.

• What numbers are the prime factors of 367?

  Prime factors of 367 are 367.

• What is the sum of all odd prime factors of 367?

  Prime factors of 367 are 367, out of which 367 are odd numbers. So, the sum of odd prime factors of 367 is 367 = 367.