# Prime Factors of 299

Prime Factors of 299 are 13 and 23

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

 1.   Prime Factorization of 299 by Division Method 2.   Prime Factorization of 299 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 299 by Division Method

To find the primefactors of 299 using the division method, follow these steps:

• Step 1. Start dividing 299 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 299, which is 13. Divide 299 by 13 to obtain the quotient (23).
299 ÷ 13 = 23
• Step 3. Repeat step 1 with the obtained quotient (23).
23 ÷ 23 = 1

So, the prime factorization of 299 is, 299 = 13 x 23.

#### Steps to find Prime Factors of 299 by Factor Tree Method

We can follow the same procedure using the factor tree of 299 as shown below:

So, the prime factorization of 299 is, 299 = 13 x 23.

#### What does Prime factor of a number mean?

A prime number in mathematics is defined as any natural number greater than 1, that is not divisible by any number except 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 299 are 13 x 23.

#### 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 299 but not a prime factor of 299.

• Which is the smallest prime factor of 299?

Smallest prime factor of 299 is 13.

• Is 299 a perfect square?

No 299 is not a perfect square.

• What is the prime factorization of 299?

Prime factorization of 299 is 13 x 23.

• What is prime factorization of 299 in exponential form?

Prime factorization of 299 in exponential form is 13 x 23.

• Is 299 a prime number?

false, 299 is not a prime number.

• Which is the largest prime factors of 299?

The largest prime factor of 299 is 23.

• What is the product of all prime factors of 299?

Prime factors of 299 are 13 x 23. Therefore, their product is 299.

• What is the sum of all odd prime factors of 299?

Prime factors of 299 are 13 , 23, out of which 13 , 23 are odd numbers. So, the sum of odd prime factors of 299 is 13 + 23 = 36.

• What is the product of all odd prime factors of 299?

Prime factors of 299 are 13 , 23, out of which 13 , 23 are odd numbers. So, the product of odd prime factors of 299 is 13 x 23 = 299.