Prime Factors of 4077

Steps to find Prime Factors of 4077 by Division Method

To find the primefactors of 4077 using the division method, follow these steps:

• Step 1. Start dividing 4077 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 4077, which is 3. Divide 4077 by 3 to obtain the quotient (1359).
  4077 ÷ 3 = 1359
• Step 3. Repeat step 1 with the obtained quotient (1359).
  1359 ÷ 3 = 453
  453 ÷ 3 = 151
  151 ÷ 151 = 1

So, the prime factorization of 4077 is, 4077 = 3 x 3 x 3 x 151.

Steps to find Prime Factors of 4077 by Factor Tree Method

We can follow the same procedure using the factor tree of 4077 as shown below:

So, the prime factorization of 4077 is, 4077 = 3 x 3 x 3 x 151.

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 4077 are 3 x 3 x 3 x 151.

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 4077 but not a prime factor of 4077.

Frequently Asked Questions

• Which is the smallest prime factor of 4077?

  Smallest prime factor of 4077 is 3.

• Is 4077 a perfect square?

  No 4077 is not a perfect square.

• What is the prime factorization of 4077?

  Prime factorization of 4077 is 3 x 3 x 3 x 151.

• What are the factors of 4077?

  Factors of 4077 are 1 , 3 , 9 , 27 , 151 , 453 , 1359 , 4077.

• What is prime factorization of 4077 in exponential form?

  Prime factorization of 4077 in exponential form is 3³ x 151.

• Is 4077 a prime number or a composite number?

  4077 is a composite number.

• Is 4077 a prime number?

  false, 4077 is not a prime number.

• How to find prime factorization of 4077 easily?

  To find prime factorization of 4077 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 4077?

  The largest prime factor of 4077 is 151.