# Prime Factors of 69

Prime Factors of 69 are 3 and 23

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

 1.   Prime Factorization of 69 by Division Method 2.   Prime Factorization of 69 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 69 by Division Method

To find the primefactors of 69 using the division method, follow these steps:

• Step 1. Start dividing 69 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 69, which is 3. Divide 69 by 3 to obtain the quotient (23).
69 ÷ 3 = 23
• Step 3. Repeat step 1 with the obtained quotient (23).
23 ÷ 23 = 1

So, the prime factorization of 69 is, 69 = 3 x 23.

#### Steps to find Prime Factors of 69 by Factor Tree Method

We can follow the same procedure using the factor tree of 69 as shown below:

So, the prime factorization of 69 is, 69 = 3 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 69 are 3 x 23.

#### Properties of Prime Factors

• Prime factors are the set of factors that are unique to the number given.
• 2 is the only even prime factor any number can have.
• Two prime factors 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 69 but not a prime factor of 69.

• Which is the smallest prime factor of 69?

Smallest prime factor of 69 is 3.

• Is 69 a perfect square?

No 69 is not a perfect square.

• What is the prime factorization of 69?

Prime factorization of 69 is 3 x 23.

• What are the factors of 69?

Factors of 69 are 1 , 3 , 23 , 69.

• What is prime factorization of 69 in exponential form?

Prime factorization of 69 in exponential form is 3 x 23.

• Is 69 a prime number or a composite number?

69 is a composite number.

• Is 69 a prime number?

false, 69 is not a prime number.

• How to find prime factorization of 69 easily?

To find prime factorization of 69 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 69?

The largest prime factor of 69 is 23.