Steps to find Prime Factors of 887 by Division Method

To find the primefactors of 887 using the division method, follow these steps:

  • Step 1. Start dividing 887 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 887, which is 887. Divide 887 by 887 to obtain the quotient (1).
    887 ÷ 887 = 1
  • Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 887 is, 887 = 887.

Steps to find Prime Factors of 887 by Factor Tree Method

We can follow the same procedure using the factor tree of 887 as shown below:

So, the prime factorization of 887 is, 887 = 887.

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 887 are 887.

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 887 but not a prime factor of 887.

Frequently Asked Questions

  • Which is the smallest prime factor of 887?

    Smallest prime factor of 887 is 887.

  • What are the factors of 887?

    Factors of 887 are 1 , 887.

  • What is prime factorization of 887 in exponential form?

    Prime factorization of 887 in exponential form is 887.

  • Is 887 a prime number or a composite number?

    887 is a prime number.

  • Is 887 a prime number?

    true, 887 is a prime number.

  • What is the sum of all prime factors of 887?

    Prime factors of 887 are 887. Therefore, their sum is 887.

  • What is the product of all prime factors of 887?

    Prime factors of 887 are 887. Therefore, their product is 887.

  • What numbers are the prime factors of 887?

    Prime factors of 887 are 887.

  • What is the sum of all odd prime factors of 887?

    Prime factors of 887 are 887, out of which 887 are odd numbers. So, the sum of odd prime factors of 887 is 887 = 887.