Prime Factors of 3645

Steps to find Prime Factors of 3645 by Division Method

To find the primefactors of 3645 using the division method, follow these steps:

• Step 1. Start dividing 3645 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 3645, which is 3. Divide 3645 by 3 to obtain the quotient (1215).
  3645 ÷ 3 = 1215
• Step 3. Repeat step 1 with the obtained quotient (1215).
  1215 ÷ 3 = 405
  405 ÷ 3 = 135
  135 ÷ 3 = 45
  45 ÷ 3 = 15
  15 ÷ 3 = 5
  5 ÷ 5 = 1

So, the prime factorization of 3645 is, 3645 = 3 x 3 x 3 x 3 x 3 x 3 x 5.

Steps to find Prime Factors of 3645 by Factor Tree Method

We can follow the same procedure using the factor tree of 3645 as shown below:

So, the prime factorization of 3645 is, 3645 = 3 x 3 x 3 x 3 x 3 x 3 x 5.

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 3645 are 3 x 3 x 3 x 3 x 3 x 3 x 5.

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 3645 but not a prime factor of 3645.

Frequently Asked Questions

• Which is the smallest prime factor of 3645?

  Smallest prime factor of 3645 is 3.

• Is 3645 a perfect square?

  No 3645 is not a perfect square.

• What is the prime factorization of 3645?

  Prime factorization of 3645 is 3 x 3 x 3 x 3 x 3 x 3 x 5.

• What are the factors of 3645?

  Factors of 3645 are 1 , 3 , 5 , 9 , 15 , 27 , 45 , 81 , 135 , 243 , 405 , 729 , 1215 , 3645.

• What is prime factorization of 3645 in exponential form?

  Prime factorization of 3645 in exponential form is 3⁶ x 5.

• Is 3645 a prime number or a composite number?

  3645 is a composite number.

• Is 3645 a prime number?

  false, 3645 is not a prime number.

• How to find prime factorization of 3645 easily?

  To find prime factorization of 3645 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 3645?

  The largest prime factor of 3645 is 5.