Prime Factors of 693

Steps to find Prime Factors of 693 by Division Method

To find the primefactors of 693 using the division method, follow these steps:

• Step 1. Start dividing 693 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 693, which is 3. Divide 693 by 3 to obtain the quotient (231).
  693 ÷ 3 = 231
• Step 3. Repeat step 1 with the obtained quotient (231).
  231 ÷ 3 = 77
  77 ÷ 7 = 11
  11 ÷ 11 = 1

So, the prime factorization of 693 is, 693 = 3 x 3 x 7 x 11.

Steps to find Prime Factors of 693 by Factor Tree Method

We can follow the same procedure using the factor tree of 693 as shown below:

So, the prime factorization of 693 is, 693 = 3 x 3 x 7 x 11.

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 693 are 3 x 3 x 7 x 11.

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 693 but not a prime factor of 693.

Frequently Asked Questions

• Which is the smallest prime factor of 693?

  Smallest prime factor of 693 is 3.

• Is 693 a perfect square?

  No 693 is not a perfect square.

• What is the prime factorization of 693?

  Prime factorization of 693 is 3 x 3 x 7 x 11.

• What are the factors of 693?

  Factors of 693 are 1 , 3 , 7 , 9 , 11 , 21 , 33 , 63 , 77 , 99 , 231 , 693.

• What is prime factorization of 693 in exponential form?

  Prime factorization of 693 in exponential form is 3² x 7 x 11.

• Is 693 a prime number or a composite number?

  693 is a composite number.

• Is 693 a prime number?

  false, 693 is not a prime number.

• How to find prime factorization of 693 easily?

  To find prime factorization of 693 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 693?

  The largest prime factor of 693 is 11.