# Prime Factors of 8888

Prime Factors of 8888 are 2, 2, 2, 11, and 101

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

 1.   Prime Factorization of 8888 by Division Method 2.   Prime Factorization of 8888 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 8888 by Division Method

To find the primefactors of 8888 using the division method, follow these steps:

• Step 1. Start dividing 8888 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 8888, which is 2. Divide 8888 by 2 to obtain the quotient (4444).
8888 ÷ 2 = 4444
• Step 3. Repeat step 1 with the obtained quotient (4444).
4444 ÷ 2 = 2222
2222 ÷ 2 = 1111
1111 ÷ 11 = 101
101 ÷ 101 = 1

So, the prime factorization of 8888 is, 8888 = 2 x 2 x 2 x 11 x 101.

#### Steps to find Prime Factors of 8888 by Factor Tree Method

We can follow the same procedure using the factor tree of 8888 as shown below:

So, the prime factorization of 8888 is, 8888 = 2 x 2 x 2 x 11 x 101.

#### What does Prime factor in mathematics mean?

Prime numbers, in mathematics are all those whole numbers greater than 1 having exactly two divisors that is 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 8888 are 2 x 2 x 2 x 11 x 101.

#### 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 8888 but not a prime factor of 8888.

• Which is the smallest prime factor of 8888?

Smallest prime factor of 8888 is 2.

• Is 8888 a perfect square?

No 8888 is not a perfect square.

• What is the prime factorization of 8888?

Prime factorization of 8888 is 2 x 2 x 2 x 11 x 101.

• What is prime factorization of 8888 in exponential form?

Prime factorization of 8888 in exponential form is 23 x 11 x 101.

• Is 8888 a prime number or a composite number?

8888 is a composite number.

• Which is the largest prime factors of 8888?

The largest prime factor of 8888 is 101.

• What is the product of all prime factors of 8888?

Prime factors of 8888 are 2 x 2 x 2 x 11 x 101. Therefore, their product is 8888.

• What numbers are the prime factors of 8888?

Prime factors of 8888 are 2 , 2 , 2 , 11 , 101.

• Is there any even prime factor of 8888?

Yes there is a even prime factor of 8888.