Steps to find Prime Factors of 127 by Division Method

To find the primefactors of 127 using the division method, follow these steps:

  • Step 1. Start dividing 127 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 127, which is 127. Divide 127 by 127 to obtain the quotient (1).
    127 ÷ 127 = 1
  • Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 127 is, 127 = 127.

Steps to find Prime Factors of 127 by Factor Tree Method

We can follow the same procedure using the factor tree of 127 as shown below:

So, the prime factorization of 127 is, 127 = 127.

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 127 are 127.

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 127 but not a prime factor of 127.

Frequently Asked Questions

  • Which is the smallest prime factor of 127?

    Smallest prime factor of 127 is 127.

  • What are the factors of 127?

    Factors of 127 are 1 , 127.

  • What is prime factorization of 127 in exponential form?

    Prime factorization of 127 in exponential form is 127.

  • Is 127 a prime number or a composite number?

    127 is a prime number.

  • Is 127 a prime number?

    true, 127 is a prime number.

  • What is the sum of all prime factors of 127?

    Prime factors of 127 are 127. Therefore, their sum is 127.

  • What is the product of all prime factors of 127?

    Prime factors of 127 are 127. Therefore, their product is 127.

  • What numbers are the prime factors of 127?

    Prime factors of 127 are 127.

  • What is the sum of all odd prime factors of 127?

    Prime factors of 127 are 127, out of which 127 are odd numbers. So, the sum of odd prime factors of 127 is 127 = 127.