Steps to find Prime Factors of 3551 by Division Method

To find the primefactors of 3551 using the division method, follow these steps:

  • Step 1. Start dividing 3551 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 3551, which is 53. Divide 3551 by 53 to obtain the quotient (67).
    3551 ÷ 53 = 67
  • Step 3. Repeat step 1 with the obtained quotient (67).
    67 ÷ 67 = 1

So, the prime factorization of 3551 is, 3551 = 53 x 67.

Steps to find Prime Factors of 3551 by Factor Tree Method

We can follow the same procedure using the factor tree of 3551 as shown below:

So, the prime factorization of 3551 is, 3551 = 53 x 67.

Introduction to Prime Factors?

In mathematics, prime numbers are defined as all those natural numbers greater than 1 that has only two divisors one being number 1 and the other being the number itself. When we express any number as the products of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 3551 are 53 x 67.

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 3551 but not a prime factor of 3551.

Frequently Asked Questions

  • Which is the smallest prime factor of 3551?

    Smallest prime factor of 3551 is 53.

  • What are the factors of 3551?

    Factors of 3551 are 1 , 53 , 67 , 3551.

  • What is prime factorization of 3551 in exponential form?

    Prime factorization of 3551 in exponential form is 53 x 67.

  • Is 3551 a prime number or a composite number?

    3551 is a composite number.

  • Is 3551 a prime number?

    false, 3551 is not a prime number.

  • What is the sum of all prime factors of 3551?

    Prime factors of 3551 are 53 x 67. Therefore, their sum is 120.

  • What is the product of all prime factors of 3551?

    Prime factors of 3551 are 53 x 67. Therefore, their product is 3551.

  • What numbers are the prime factors of 3551?

    Prime factors of 3551 are 53 , 67.

  • What is the sum of all odd prime factors of 3551?

    Prime factors of 3551 are 53 , 67, out of which 53 , 67 are odd numbers. So, the sum of odd prime factors of 3551 is 53 + 67 = 120.