# Prime Factors of 77077

Prime Factors of 77077 are 7, 7, 11, 11, and 13

#### How to find prime factors of a number

 1.   Prime Factorization of 77077 by Division Method 2.   Prime Factorization of 77077 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 77077 by Division Method

To find the primefactors of 77077 using the division method, follow these steps:

• Step 1. Start dividing 77077 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 77077, which is 7. Divide 77077 by 7 to obtain the quotient (11011).
77077 ÷ 7 = 11011
• Step 3. Repeat step 1 with the obtained quotient (11011).
11011 ÷ 7 = 1573
1573 ÷ 11 = 143
143 ÷ 11 = 13
13 ÷ 13 = 1

So, the prime factorization of 77077 is, 77077 = 7 x 7 x 11 x 11 x 13.

#### Steps to find Prime Factors of 77077 by Factor Tree Method

We can follow the same procedure using the factor tree of 77077 as shown below:

So, the prime factorization of 77077 is, 77077 = 7 x 7 x 11 x 11 x 13.

#### 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 77077 are 7 x 7 x 11 x 11 x 13.

#### 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 77077 but not a prime factor of 77077.

• Which is the smallest prime factor of 77077?

Smallest prime factor of 77077 is 7.

• Is 77077 a perfect square?

No 77077 is not a perfect square.

• What is the prime factorization of 77077?

Prime factorization of 77077 is 7 x 7 x 11 x 11 x 13.

• What are the factors of 77077?

Factors of 77077 are 1 , 7 , 11 , 13 , 49 , 77 , 91 , 121 , 143 , 539 , 637 , 847 , 1001 , 1573 , 5929 , 7007 , 11011 , 77077.

• What is prime factorization of 77077 in exponential form?

Prime factorization of 77077 in exponential form is 72 x 112 x 13.

• Is 77077 a prime number or a composite number?

77077 is a composite number.

• Is 77077 a prime number?

false, 77077 is not a prime number.

• How to find prime factorization of 77077 easily?

To find prime factorization of 77077 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 77077?

The largest prime factor of 77077 is 13.