Prime Factors of 455

Steps to find Prime Factors of 455 by Division Method

To find the primefactors of 455 using the division method, follow these steps:

• Step 1. Start dividing 455 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 455, which is 5. Divide 455 by 5 to obtain the quotient (91).
  455 ÷ 5 = 91
• Step 3. Repeat step 1 with the obtained quotient (91).
  91 ÷ 7 = 13
  13 ÷ 13 = 1

So, the prime factorization of 455 is, 455 = 5 x 7 x 13.

Steps to find Prime Factors of 455 by Factor Tree Method

We can follow the same procedure using the factor tree of 455 as shown below:

So, the prime factorization of 455 is, 455 = 5 x 7 x 13.

Definition of Prime Factors?

In mathematics, prime numbers are defined as all those whole numbers greater than 1 that have only two factors, i.e. 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 455 are 5 x 7 x 13.

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 455 but not a prime factor of 455.

Frequently Asked Questions

• Which is the smallest prime factor of 455?

  Smallest prime factor of 455 is 5.

• What are the factors of 455?

  Factors of 455 are 1 , 5 , 7 , 13 , 35 , 65 , 91 , 455.

• What is prime factorization of 455 in exponential form?

  Prime factorization of 455 in exponential form is 5 x 7 x 13.

• Is 455 a prime number or a composite number?

  455 is a composite number.

• Is 455 a prime number?

  false, 455 is not a prime number.

• What is the sum of all prime factors of 455?

  Prime factors of 455 are 5 x 7 x 13. Therefore, their sum is 25.

• What is the product of all prime factors of 455?

  Prime factors of 455 are 5 x 7 x 13. Therefore, their product is 455.

• What numbers are the prime factors of 455?

  Prime factors of 455 are 5 , 7 , 13.

• What is the sum of all odd prime factors of 455?

  Prime factors of 455 are 5 , 7 , 13, out of which 5 , 7 , 13 are odd numbers. So, the sum of odd prime factors of 455 is 5 + 7 + 13 = 25.