Prime Factors of 3655

Steps to find Prime Factors of 3655 by Division Method

To find the primefactors of 3655 using the division method, follow these steps:

• Step 1. Start dividing 3655 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 3655, which is 5. Divide 3655 by 5 to obtain the quotient (731).
  3655 ÷ 5 = 731
• Step 3. Repeat step 1 with the obtained quotient (731).
  731 ÷ 17 = 43
  43 ÷ 43 = 1

So, the prime factorization of 3655 is, 3655 = 5 x 17 x 43.

Steps to find Prime Factors of 3655 by Factor Tree Method

We can follow the same procedure using the factor tree of 3655 as shown below:

So, the prime factorization of 3655 is, 3655 = 5 x 17 x 43.

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 3655 are 5 x 17 x 43.

Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• 2 is the only even prime number. So, any given number can have only one even prime factor and that is 2.
• Two prime factors of a given number 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 3655 but not a prime factor of 3655.

Frequently Asked Questions

• Which is the smallest prime factor of 3655?

  Smallest prime factor of 3655 is 5.

• What are the factors of 3655?

  Factors of 3655 are 1 , 5 , 17 , 43 , 85 , 215 , 731 , 3655.

• What is prime factorization of 3655 in exponential form?

  Prime factorization of 3655 in exponential form is 5 x 17 x 43.

• Is 3655 a prime number or a composite number?

  3655 is a composite number.

• Is 3655 a prime number?

  false, 3655 is not a prime number.

• What is the sum of all prime factors of 3655?

  Prime factors of 3655 are 5 x 17 x 43. Therefore, their sum is 65.

• What is the product of all prime factors of 3655?

  Prime factors of 3655 are 5 x 17 x 43. Therefore, their product is 3655.

• What numbers are the prime factors of 3655?

  Prime factors of 3655 are 5 , 17 , 43.

• What is the sum of all odd prime factors of 3655?

  Prime factors of 3655 are 5 , 17 , 43, out of which 5 , 17 , 43 are odd numbers. So, the sum of odd prime factors of 3655 is 5 + 17 + 43 = 65.