# Prime Factors of 8827

Prime Factors of 8827 are 7, 13, and 97

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

 1.   Prime Factorization of 8827 by Division Method 2.   Prime Factorization of 8827 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 8827 by Division Method

To find the primefactors of 8827 using the division method, follow these steps:

• Step 1. Start dividing 8827 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 8827, which is 7. Divide 8827 by 7 to obtain the quotient (1261).
8827 ÷ 7 = 1261
• Step 3. Repeat step 1 with the obtained quotient (1261).
1261 ÷ 13 = 97
97 ÷ 97 = 1

So, the prime factorization of 8827 is, 8827 = 7 x 13 x 97.

#### Steps to find Prime Factors of 8827 by Factor Tree Method

We can follow the same procedure using the factor tree of 8827 as shown below:

So, the prime factorization of 8827 is, 8827 = 7 x 13 x 97.

#### 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 8827 are 7 x 13 x 97.

#### 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 8827 but not a prime factor of 8827.

• Which is the smallest prime factor of 8827?

Smallest prime factor of 8827 is 7.

• Is 8827 a perfect square?

No 8827 is not a perfect square.

• What is the prime factorization of 8827?

Prime factorization of 8827 is 7 x 13 x 97.

• What is prime factorization of 8827 in exponential form?

Prime factorization of 8827 in exponential form is 7 x 13 x 97.

• Is 8827 a prime number?

false, 8827 is not a prime number.

• Which is the largest prime factors of 8827?

The largest prime factor of 8827 is 97.

• What is the product of all prime factors of 8827?

Prime factors of 8827 are 7 x 13 x 97. Therefore, their product is 8827.

• What is the sum of all odd prime factors of 8827?

Prime factors of 8827 are 7 , 13 , 97, out of which 7 , 13 , 97 are odd numbers. So, the sum of odd prime factors of 8827 is 7 + 13 + 97 = 117.

• What is the product of all odd prime factors of 8827?

Prime factors of 8827 are 7 , 13 , 97, out of which 7 , 13 , 97 are odd numbers. So, the product of odd prime factors of 8827 is 7 x 13 x 97 = 8827.