# Prime Factors of 903

Prime Factors of 903 are 3, 7, and 43

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

 1.   Prime Factorization of 903 by Division Method 2.   Prime Factorization of 903 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 903 by Division Method

To find the primefactors of 903 using the division method, follow these steps:

• Step 1. Start dividing 903 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 903, which is 3. Divide 903 by 3 to obtain the quotient (301).
903 ÷ 3 = 301
• Step 3. Repeat step 1 with the obtained quotient (301).
301 ÷ 7 = 43
43 ÷ 43 = 1

So, the prime factorization of 903 is, 903 = 3 x 7 x 43.

#### Steps to find Prime Factors of 903 by Factor Tree Method

We can follow the same procedure using the factor tree of 903 as shown below:

So, the prime factorization of 903 is, 903 = 3 x 7 x 43.

#### 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 903 are 3 x 7 x 43.

#### Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• 2 is the only even prime number. So, any given number can have only one even prime factor and that is 2.
• Two prime factors of a given number 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 903 but not a prime factor of 903.

• Which is the smallest prime factor of 903?

Smallest prime factor of 903 is 3.

• What are the factors of 903?

Factors of 903 are 1 , 3 , 7 , 21 , 43 , 129 , 301 , 903.

• What is prime factorization of 903 in exponential form?

Prime factorization of 903 in exponential form is 3 x 7 x 43.

• Is 903 a prime number or a composite number?

903 is a composite number.

• Is 903 a prime number?

false, 903 is not a prime number.

• What is the sum of all prime factors of 903?

Prime factors of 903 are 3 x 7 x 43. Therefore, their sum is 53.

• What is the product of all prime factors of 903?

Prime factors of 903 are 3 x 7 x 43. Therefore, their product is 903.

• What numbers are the prime factors of 903?

Prime factors of 903 are 3 , 7 , 43.

• What is the sum of all odd prime factors of 903?

Prime factors of 903 are 3 , 7 , 43, out of which 3 , 7 , 43 are odd numbers. So, the sum of odd prime factors of 903 is 3 + 7 + 43 = 53.