Prime Factors of 1309

Steps to find Prime Factors of 1309 by Division Method

To find the primefactors of 1309 using the division method, follow these steps:

• Step 1. Start dividing 1309 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 1309, which is 7. Divide 1309 by 7 to obtain the quotient (187).
  1309 ÷ 7 = 187
• Step 3. Repeat step 1 with the obtained quotient (187).
  187 ÷ 11 = 17
  17 ÷ 17 = 1

So, the prime factorization of 1309 is, 1309 = 7 x 11 x 17.

Steps to find Prime Factors of 1309 by Factor Tree Method

We can follow the same procedure using the factor tree of 1309 as shown below:

So, the prime factorization of 1309 is, 1309 = 7 x 11 x 17.

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 1309 are 7 x 11 x 17.

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 1309 but not a prime factor of 1309.

Frequently Asked Questions

• Which is the smallest prime factor of 1309?

  Smallest prime factor of 1309 is 7.

• Is 1309 a perfect square?

  No 1309 is not a perfect square.

• What is the prime factorization of 1309?

  Prime factorization of 1309 is 7 x 11 x 17.

• What are the factors of 1309?

  Factors of 1309 are 1 , 7 , 11 , 17 , 77 , 119 , 187 , 1309.

• What is prime factorization of 1309 in exponential form?

  Prime factorization of 1309 in exponential form is 7 x 11 x 17.

• Is 1309 a prime number or a composite number?

  1309 is a composite number.

• Is 1309 a prime number?

  false, 1309 is not a prime number.

• How to find prime factorization of 1309 easily?

  To find prime factorization of 1309 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 1309?

  The largest prime factor of 1309 is 17.