# Prime Factors of 753

Prime Factors of 753 are 3 and 251

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

 1.   Prime Factorization of 753 by Division Method 2.   Prime Factorization of 753 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 753 by Division Method

To find the primefactors of 753 using the division method, follow these steps:

• Step 1. Start dividing 753 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 753, which is 3. Divide 753 by 3 to obtain the quotient (251).
753 ÷ 3 = 251
• Step 3. Repeat step 1 with the obtained quotient (251).
251 ÷ 251 = 1

So, the prime factorization of 753 is, 753 = 3 x 251.

#### Steps to find Prime Factors of 753 by Factor Tree Method

We can follow the same procedure using the factor tree of 753 as shown below:

So, the prime factorization of 753 is, 753 = 3 x 251.

#### 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 753 are 3 x 251.

#### 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 753 but not a prime factor of 753.

• Which is the smallest prime factor of 753?

Smallest prime factor of 753 is 3.

• What is the prime factorization of 753?

Prime factorization of 753 is 3 x 251.

• What is prime factorization of 753 in exponential form?

Prime factorization of 753 in exponential form is 3 x 251.

• Is 753 a prime number or a composite number?

753 is a composite number.

• Is 753 a prime number?

false, 753 is not a prime number.

• How to find prime factorization of 753 easily?

To find prime factorization of 753 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 753?

The largest prime factor of 753 is 251.

• What is the product of all prime factors of 753?

Prime factors of 753 are 3 x 251. Therefore, their product is 753.

• What is the sum of all odd prime factors of 753?

Prime factors of 753 are 3 , 251, out of which 3 , 251 are odd numbers. So, the sum of odd prime factors of 753 is 3 + 251 = 254.