Steps to find Prime Factors of 4913 by Division Method

To find the primefactors of 4913 using the division method, follow these steps:

  • Step 1. Start dividing 4913 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 4913, which is 17. Divide 4913 by 17 to obtain the quotient (289).
    4913 ÷ 17 = 289
  • Step 3. Repeat step 1 with the obtained quotient (289).
    289 ÷ 17 = 17
    17 ÷ 17 = 1

So, the prime factorization of 4913 is, 4913 = 17 x 17 x 17.

Steps to find Prime Factors of 4913 by Factor Tree Method

We can follow the same procedure using the factor tree of 4913 as shown below:

So, the prime factorization of 4913 is, 4913 = 17 x 17 x 17.

What does Prime factor in mathematics mean?

Prime numbers, in mathematics are all those whole numbers greater than 1 having exactly two divisors that is 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 4913 are 17 x 17 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 4913 but not a prime factor of 4913.

Frequently Asked Questions

  • Which is the smallest prime factor of 4913?

    Smallest prime factor of 4913 is 17.

  • What is the prime factorization of 4913?

    Prime factorization of 4913 is 17 x 17 x 17.

  • What is prime factorization of 4913 in exponential form?

    Prime factorization of 4913 in exponential form is 173.

  • Is 4913 a prime number or a composite number?

    4913 is a composite number.

  • Is 4913 a prime number?

    false, 4913 is not a prime number.

  • How to find prime factorization of 4913 easily?

    To find prime factorization of 4913 easily you can refer to the steps given on this page step by step.

  • Which is the largest prime factors of 4913?

    The largest prime factor of 4913 is 17.

  • What is the product of all prime factors of 4913?

    Prime factors of 4913 are 17 x 17 x 17. Therefore, their product is 4913.

  • What is the sum of all odd prime factors of 4913?

    Prime factors of 4913 are 17 , 17 , 17, out of which 17 , 17 , 17 are odd numbers. So, the sum of odd prime factors of 4913 is 17 + 17 + 17 = 51.