# Prime Factors of 733

Prime Factors of 733 are 733

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

 1.   Prime Factorization of 733 by Division Method 2.   Prime Factorization of 733 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 733 by Division Method

To find the primefactors of 733 using the division method, follow these steps:

• Step 1. Start dividing 733 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 733, which is 733. Divide 733 by 733 to obtain the quotient (1).
733 ÷ 733 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 733 is, 733 = 733.

#### Steps to find Prime Factors of 733 by Factor Tree Method

We can follow the same procedure using the factor tree of 733 as shown below:

So, the prime factorization of 733 is, 733 = 733.

#### 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 733 are 733.

#### 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 733 but not a prime factor of 733.

• Which is the smallest prime factor of 733?

Smallest prime factor of 733 is 733.

• Is 733 a perfect square?

No 733 is not a perfect square.

• What is the prime factorization of 733?

Prime factorization of 733 is 733.

• What are the factors of 733?

Factors of 733 are 1 , 733.

• What is prime factorization of 733 in exponential form?

Prime factorization of 733 in exponential form is 733.

• Is 733 a prime number or a composite number?

733 is a prime number.

• Is 733 a prime number?

true, 733 is a prime number.

• How to find prime factorization of 733 easily?

To find prime factorization of 733 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 733?

The largest prime factor of 733 is 733.