# Prime Factors of 7887

Prime Factors of 7887 are 3, 11, and 239

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

 1.   Prime Factorization of 7887 by Division Method 2.   Prime Factorization of 7887 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 7887 by Division Method

To find the primefactors of 7887 using the division method, follow these steps:

• Step 1. Start dividing 7887 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 7887, which is 3. Divide 7887 by 3 to obtain the quotient (2629).
7887 ÷ 3 = 2629
• Step 3. Repeat step 1 with the obtained quotient (2629).
2629 ÷ 11 = 239
239 ÷ 239 = 1

So, the prime factorization of 7887 is, 7887 = 3 x 11 x 239.

#### Steps to find Prime Factors of 7887 by Factor Tree Method

We can follow the same procedure using the factor tree of 7887 as shown below:

So, the prime factorization of 7887 is, 7887 = 3 x 11 x 239.

#### 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 7887 are 3 x 11 x 239.

#### 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 7887 but not a prime factor of 7887.

• Which is the smallest prime factor of 7887?

Smallest prime factor of 7887 is 3.

• What are the factors of 7887?

Factors of 7887 are 1 , 3 , 11 , 33 , 239 , 717 , 2629 , 7887.

• What is prime factorization of 7887 in exponential form?

Prime factorization of 7887 in exponential form is 3 x 11 x 239.

• Is 7887 a prime number or a composite number?

7887 is a composite number.

• Is 7887 a prime number?

false, 7887 is not a prime number.

• What is the sum of all prime factors of 7887?

Prime factors of 7887 are 3 x 11 x 239. Therefore, their sum is 253.

• What is the product of all prime factors of 7887?

Prime factors of 7887 are 3 x 11 x 239. Therefore, their product is 7887.

• What numbers are the prime factors of 7887?

Prime factors of 7887 are 3 , 11 , 239.

• What is the sum of all odd prime factors of 7887?

Prime factors of 7887 are 3 , 11 , 239, out of which 3 , 11 , 239 are odd numbers. So, the sum of odd prime factors of 7887 is 3 + 11 + 239 = 253.