Prime Factors of 67

Steps to find Prime Factors of 67 by Division Method

To find the primefactors of 67 using the division method, follow these steps:

• Step 1. Start dividing 67 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 67, which is 67. Divide 67 by 67 to obtain the quotient (1).
  67 ÷ 67 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 67 is, 67 = 67.

Steps to find Prime Factors of 67 by Factor Tree Method

We can follow the same procedure using the factor tree of 67 as shown below:

So, the prime factorization of 67 is, 67 = 67.

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 67 are 67.

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 67 but not a prime factor of 67.

Frequently Asked Questions

• Which is the smallest prime factor of 67?

  Smallest prime factor of 67 is 67.

• Is 67 a perfect square?

  No 67 is not a perfect square.

• What is the prime factorization of 67?

  Prime factorization of 67 is 67.

• What is prime factorization of 67 in exponential form?

  Prime factorization of 67 in exponential form is 67.

• Is 67 a prime number?

  true, 67 is a prime number.

• Which is the largest prime factors of 67?

  The largest prime factor of 67 is 67.

• What is the product of all prime factors of 67?

  Prime factors of 67 are 67. Therefore, their product is 67.

• What is the sum of all odd prime factors of 67?

  Prime factors of 67 are 67, out of which 67 are odd numbers. So, the sum of odd prime factors of 67 is 67 = 67.

• What is the product of all odd prime factors of 67?

  Prime factors of 67 are 67, out of which 67 are odd numbers. So, the product of odd prime factors of 67 is 67 = 67.