Prime Factors of 467

Steps to find Prime Factors of 467 by Division Method

To find the primefactors of 467 using the division method, follow these steps:

• Step 1. Start dividing 467 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 467, which is 467. Divide 467 by 467 to obtain the quotient (1).
  467 ÷ 467 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 467 is, 467 = 467.

Steps to find Prime Factors of 467 by Factor Tree Method

We can follow the same procedure using the factor tree of 467 as shown below:

So, the prime factorization of 467 is, 467 = 467.

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 467 are 467.

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 467 but not a prime factor of 467.

Frequently Asked Questions

• Which is the smallest prime factor of 467?

  Smallest prime factor of 467 is 467.

• Is 467 a perfect square?

  No 467 is not a perfect square.

• What is the prime factorization of 467?

  Prime factorization of 467 is 467.

• What is prime factorization of 467 in exponential form?

  Prime factorization of 467 in exponential form is 467.

• Is 467 a prime number?

  true, 467 is a prime number.

• Which is the largest prime factors of 467?

  The largest prime factor of 467 is 467.

• What is the product of all prime factors of 467?

  Prime factors of 467 are 467. Therefore, their product is 467.

• What is the sum of all odd prime factors of 467?

  Prime factors of 467 are 467, out of which 467 are odd numbers. So, the sum of odd prime factors of 467 is 467 = 467.

• What is the product of all odd prime factors of 467?

  Prime factors of 467 are 467, out of which 467 are odd numbers. So, the product of odd prime factors of 467 is 467 = 467.