Prime Factors of 69069

Steps to find Prime Factors of 69069 by Division Method

To find the primefactors of 69069 using the division method, follow these steps:

• Step 1. Start dividing 69069 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 69069, which is 3. Divide 69069 by 3 to obtain the quotient (23023).
  69069 ÷ 3 = 23023
• Step 3. Repeat step 1 with the obtained quotient (23023).
  23023 ÷ 7 = 3289
  3289 ÷ 11 = 299
  299 ÷ 13 = 23
  23 ÷ 23 = 1

So, the prime factorization of 69069 is, 69069 = 3 x 7 x 11 x 13 x 23.

Steps to find Prime Factors of 69069 by Factor Tree Method

We can follow the same procedure using the factor tree of 69069 as shown below:

So, the prime factorization of 69069 is, 69069 = 3 x 7 x 11 x 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 69069 are 3 x 7 x 11 x 13 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 69069 but not a prime factor of 69069.

Frequently Asked Questions

• Which is the smallest prime factor of 69069?

  Smallest prime factor of 69069 is 3.

• Is 69069 a perfect square?

  No 69069 is not a perfect square.

• What is the prime factorization of 69069?

  Prime factorization of 69069 is 3 x 7 x 11 x 13 x 23.

• What are the factors of 69069?

  Factors of 69069 are 1 , 3 , 7 , 11 , 13 , 21 , 23 , 33 , 39 , 69 , 77 , 91 , 143 , 161 , 231 , 253 , 273 , 299 , 429 , 483 , 759 , 897 , 1001 , 1771 , 2093 , 3003 , 3289 , 5313 , 6279 , 9867 , 23023 , 69069.

• What is prime factorization of 69069 in exponential form?

  Prime factorization of 69069 in exponential form is 3 x 7 x 11 x 13 x 23.

• Is 69069 a prime number or a composite number?

  69069 is a composite number.

• Is 69069 a prime number?

  false, 69069 is not a prime number.

• How to find prime factorization of 69069 easily?

  To find prime factorization of 69069 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 69069?

  The largest prime factor of 69069 is 23.