# Prime Factors of 183

Prime Factors of 183 are 3 and 61

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

 1.   Prime Factorization of 183 by Division Method 2.   Prime Factorization of 183 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 183 by Division Method

To find the primefactors of 183 using the division method, follow these steps:

• Step 1. Start dividing 183 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 183, which is 3. Divide 183 by 3 to obtain the quotient (61).
183 ÷ 3 = 61
• Step 3. Repeat step 1 with the obtained quotient (61).
61 ÷ 61 = 1

So, the prime factorization of 183 is, 183 = 3 x 61.

#### Steps to find Prime Factors of 183 by Factor Tree Method

We can follow the same procedure using the factor tree of 183 as shown below:

So, the prime factorization of 183 is, 183 = 3 x 61.

#### 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 183 are 3 x 61.

#### 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 183 but not a prime factor of 183.

• Which is the smallest prime factor of 183?

Smallest prime factor of 183 is 3.

• What are the factors of 183?

Factors of 183 are 1 , 3 , 61 , 183.

• What is prime factorization of 183 in exponential form?

Prime factorization of 183 in exponential form is 3 x 61.

• Is 183 a prime number or a composite number?

183 is a composite number.

• Is 183 a prime number?

false, 183 is not a prime number.

• What is the sum of all prime factors of 183?

Prime factors of 183 are 3 x 61. Therefore, their sum is 64.

• What is the product of all prime factors of 183?

Prime factors of 183 are 3 x 61. Therefore, their product is 183.

• What numbers are the prime factors of 183?

Prime factors of 183 are 3 , 61.

• What is the sum of all odd prime factors of 183?

Prime factors of 183 are 3 , 61, out of which 3 , 61 are odd numbers. So, the sum of odd prime factors of 183 is 3 + 61 = 64.