Prime Factors of 1365

Steps to find Prime Factors of 1365 by Division Method

To find the primefactors of 1365 using the division method, follow these steps:

• Step 1. Start dividing 1365 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 1365, which is 3. Divide 1365 by 3 to obtain the quotient (455).
  1365 ÷ 3 = 455
• Step 3. Repeat step 1 with the obtained quotient (455).
  455 ÷ 5 = 91
  91 ÷ 7 = 13
  13 ÷ 13 = 1

So, the prime factorization of 1365 is, 1365 = 3 x 5 x 7 x 13.

Steps to find Prime Factors of 1365 by Factor Tree Method

We can follow the same procedure using the factor tree of 1365 as shown below:

So, the prime factorization of 1365 is, 1365 = 3 x 5 x 7 x 13.

Definition of Prime Factors?

In mathematics, prime numbers are defined as all those whole numbers greater than 1 that have only two factors, i.e. 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 1365 are 3 x 5 x 7 x 13.

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 1365 but not a prime factor of 1365.

Frequently Asked Questions

• Which is the smallest prime factor of 1365?

  Smallest prime factor of 1365 is 3.

• Is 1365 a perfect square?

  No 1365 is not a perfect square.

• What is the prime factorization of 1365?

  Prime factorization of 1365 is 3 x 5 x 7 x 13.

• What are the factors of 1365?

  Factors of 1365 are 1 , 3 , 5 , 7 , 13 , 15 , 21 , 35 , 39 , 65 , 91 , 105 , 195 , 273 , 455 , 1365.

• What is prime factorization of 1365 in exponential form?

  Prime factorization of 1365 in exponential form is 3 x 5 x 7 x 13.

• Is 1365 a prime number or a composite number?

  1365 is a composite number.

• Is 1365 a prime number?

  false, 1365 is not a prime number.

• How to find prime factorization of 1365 easily?

  To find prime factorization of 1365 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 1365?

  The largest prime factor of 1365 is 13.