# Prime Factors of 1096

Prime Factors of 1096 are 2, 2, 2, and 137

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

 1.   Prime Factorization of 1096 by Division Method 2.   Prime Factorization of 1096 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 1096 by Division Method

To find the primefactors of 1096 using the division method, follow these steps:

• Step 1. Start dividing 1096 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 1096, which is 2. Divide 1096 by 2 to obtain the quotient (548).
1096 ÷ 2 = 548
• Step 3. Repeat step 1 with the obtained quotient (548).
548 ÷ 2 = 274
274 ÷ 2 = 137
137 ÷ 137 = 1

So, the prime factorization of 1096 is, 1096 = 2 x 2 x 2 x 137.

#### Steps to find Prime Factors of 1096 by Factor Tree Method

We can follow the same procedure using the factor tree of 1096 as shown below:

So, the prime factorization of 1096 is, 1096 = 2 x 2 x 2 x 137.

#### 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 1096 are 2 x 2 x 2 x 137.

#### 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 1096 but not a prime factor of 1096.

#### Frequently Asked Questions

• Which is the smallest prime factor of 1096?

Smallest prime factor of 1096 is 2.

• Is 1096 a perfect square?

No 1096 is not a perfect square.

• What is the prime factorization of 1096?

Prime factorization of 1096 is 2 x 2 x 2 x 137.

• What is prime factorization of 1096 in exponential form?

Prime factorization of 1096 in exponential form is 23 x 137.

• Is 1096 a prime number or a composite number?

1096 is a composite number.

• Which is the largest prime factors of 1096?

The largest prime factor of 1096 is 137.

• What is the product of all prime factors of 1096?

Prime factors of 1096 are 2 x 2 x 2 x 137. Therefore, their product is 1096.

• What numbers are the prime factors of 1096?

Prime factors of 1096 are 2 , 2 , 2 , 137.

• Is there any even prime factor of 1096?

Yes there is a even prime factor of 1096.

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