Steps to find Prime Factors of 4641 by Division Method

To find the primefactors of 4641 using the division method, follow these steps:

  • Step 1. Start dividing 4641 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 4641, which is 3. Divide 4641 by 3 to obtain the quotient (1547).
    4641 ÷ 3 = 1547
  • Step 3. Repeat step 1 with the obtained quotient (1547).
    1547 ÷ 7 = 221
    221 ÷ 13 = 17
    17 ÷ 17 = 1

So, the prime factorization of 4641 is, 4641 = 3 x 7 x 13 x 17.

Steps to find Prime Factors of 4641 by Factor Tree Method

We can follow the same procedure using the factor tree of 4641 as shown below:

So, the prime factorization of 4641 is, 4641 = 3 x 7 x 13 x 17.

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 4641 are 3 x 7 x 13 x 17.

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 4641 but not a prime factor of 4641.

Frequently Asked Questions

  • Which is the smallest prime factor of 4641?

    Smallest prime factor of 4641 is 3.

  • What is the prime factorization of 4641?

    Prime factorization of 4641 is 3 x 7 x 13 x 17.

  • What is prime factorization of 4641 in exponential form?

    Prime factorization of 4641 in exponential form is 3 x 7 x 13 x 17.

  • Is 4641 a prime number or a composite number?

    4641 is a composite number.

  • Is 4641 a prime number?

    false, 4641 is not a prime number.

  • How to find prime factorization of 4641 easily?

    To find prime factorization of 4641 easily you can refer to the steps given on this page step by step.

  • Which is the largest prime factors of 4641?

    The largest prime factor of 4641 is 17.

  • What is the product of all prime factors of 4641?

    Prime factors of 4641 are 3 x 7 x 13 x 17. Therefore, their product is 4641.

  • What is the sum of all odd prime factors of 4641?

    Prime factors of 4641 are 3 , 7 , 13 , 17, out of which 3 , 7 , 13 , 17 are odd numbers. So, the sum of odd prime factors of 4641 is 3 + 7 + 13 + 17 = 40.