Prime Factors of 869

Steps to find Prime Factors of 869 by Division Method

To find the primefactors of 869 using the division method, follow these steps:

• Step 1. Start dividing 869 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 869, which is 11. Divide 869 by 11 to obtain the quotient (79).
  869 ÷ 11 = 79
• Step 3. Repeat step 1 with the obtained quotient (79).
  79 ÷ 79 = 1

So, the prime factorization of 869 is, 869 = 11 x 79.

Steps to find Prime Factors of 869 by Factor Tree Method

We can follow the same procedure using the factor tree of 869 as shown below:

So, the prime factorization of 869 is, 869 = 11 x 79.

What does Prime factor of a number mean?

A prime number in mathematics is defined as any natural number greater than 1, that is not divisible by any number except 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 869 are 11 x 79.

Properties of Prime Factors

• Prime factors are the set of factors that are unique to the number given.
• 2 is the only even prime factor any number can have.
• Two prime factors 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 869 but not a prime factor of 869.

Frequently Asked Questions

• Which is the smallest prime factor of 869?

  Smallest prime factor of 869 is 11.

• Is 869 a perfect square?

  No 869 is not a perfect square.

• What is the prime factorization of 869?

  Prime factorization of 869 is 11 x 79.

• What are the factors of 869?

  Factors of 869 are 1 , 11 , 79 , 869.

• What is prime factorization of 869 in exponential form?

  Prime factorization of 869 in exponential form is 11 x 79.

• Is 869 a prime number or a composite number?

  869 is a composite number.

• Is 869 a prime number?

  false, 869 is not a prime number.

• How to find prime factorization of 869 easily?

  To find prime factorization of 869 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 869?

  The largest prime factor of 869 is 79.