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.