# Prime Factors of 876

Prime Factors of 876 are 2, 2, 3, and 73

#### How to find prime factors of a number

 1.   Prime Factorization of 876 by Division Method 2.   Prime Factorization of 876 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 876 by Division Method

To find the primefactors of 876 using the division method, follow these steps:

• Step 1. Start dividing 876 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 876, which is 2. Divide 876 by 2 to obtain the quotient (438).
876 ÷ 2 = 438
• Step 3. Repeat step 1 with the obtained quotient (438).
438 ÷ 2 = 219
219 ÷ 3 = 73
73 ÷ 73 = 1

So, the prime factorization of 876 is, 876 = 2 x 2 x 3 x 73.

#### Steps to find Prime Factors of 876 by Factor Tree Method

We can follow the same procedure using the factor tree of 876 as shown below:

So, the prime factorization of 876 is, 876 = 2 x 2 x 3 x 73.

#### Introduction to Prime Factors?

In mathematics, prime numbers are defined as all those natural numbers greater than 1 that has only two divisors one being number 1 and the other being the number itself. When we express any number as the products of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 876 are 2 x 2 x 3 x 73.

#### Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• Any number can have only 1 even prime factor and that is number 2.
• Two prime factors are always coprime to each other.
• 1 is the factor of any given number, but 1 is neither a prime number nor a composite number. So, 1 is the factor of 876 but not a prime factor of 876.

• Which is the smallest prime factor of 876?

Smallest prime factor of 876 is 2.

• What is the prime factorization of 876?

Prime factorization of 876 is 2 x 2 x 3 x 73.

• What are the factors of 876?

Factors of 876 are 1 , 2 , 3 , 4 , 6 , 12 , 73 , 146 , 219 , 292 , 438 , 876.

• Is 876 a prime number or a composite number?

876 is a composite number.

• Is 876 a prime number?

false, 876 is not a prime number.

• Which is the largest prime factors of 876?

The largest prime factor of 876 is 73.

• What is the sum of all prime factors of 876?

Prime factors of 876 are 2 x 2 x 3 x 73. Therefore, their sum is 80.

• What numbers are the prime factors of 876?

Prime factors of 876 are 2 , 2 , 3 , 73.

• What is the sum of all odd prime factors of 876?

Prime factors of 876 are 2 , 2 , 3 , 73, out of which 3 , 73 are odd numbers. So, the sum of odd prime factors of 876 is 3 + 73 = 76.