Prime Factors of 3537

Steps to find Prime Factors of 3537 by Division Method

To find the primefactors of 3537 using the division method, follow these steps:

• Step 1. Start dividing 3537 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 3537, which is 3. Divide 3537 by 3 to obtain the quotient (1179).
  3537 ÷ 3 = 1179
• Step 3. Repeat step 1 with the obtained quotient (1179).
  1179 ÷ 3 = 393
  393 ÷ 3 = 131
  131 ÷ 131 = 1

So, the prime factorization of 3537 is, 3537 = 3 x 3 x 3 x 131.

Steps to find Prime Factors of 3537 by Factor Tree Method

We can follow the same procedure using the factor tree of 3537 as shown below:

So, the prime factorization of 3537 is, 3537 = 3 x 3 x 3 x 131.

How do you define Prime Factors of a number?

Prime numbers, in mathematics are all those natural numbers greater than 1 that have exactly 2 factors which are 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 3537 are 3 x 3 x 3 x 131.

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 3537 but not a prime factor of 3537.

Frequently Asked Questions

• Which is the smallest prime factor of 3537?

  Smallest prime factor of 3537 is 3.

• What is the prime factorization of 3537?

  Prime factorization of 3537 is 3 x 3 x 3 x 131.

• What is prime factorization of 3537 in exponential form?

  Prime factorization of 3537 in exponential form is 3³ x 131.

• Is 3537 a prime number or a composite number?

  3537 is a composite number.

• Is 3537 a prime number?

  false, 3537 is not a prime number.

• How to find prime factorization of 3537 easily?

  To find prime factorization of 3537 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 3537?

  The largest prime factor of 3537 is 131.

• What is the product of all prime factors of 3537?

  Prime factors of 3537 are 3 x 3 x 3 x 131. Therefore, their product is 3537.

• What is the sum of all odd prime factors of 3537?

  Prime factors of 3537 are 3 , 3 , 3 , 131, out of which 3 , 3 , 3 , 131 are odd numbers. So, the sum of odd prime factors of 3537 is 3 + 3 + 3 + 131 = 140.