# Prime Factors of 4631

Prime Factors of 4631 are 11 and 421

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

 1.   Prime Factorization of 4631 by Division Method 2.   Prime Factorization of 4631 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 4631 by Division Method

To find the primefactors of 4631 using the division method, follow these steps:

• Step 1. Start dividing 4631 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 4631, which is 11. Divide 4631 by 11 to obtain the quotient (421).
4631 ÷ 11 = 421
• Step 3. Repeat step 1 with the obtained quotient (421).
421 ÷ 421 = 1

So, the prime factorization of 4631 is, 4631 = 11 x 421.

#### Steps to find Prime Factors of 4631 by Factor Tree Method

We can follow the same procedure using the factor tree of 4631 as shown below:

So, the prime factorization of 4631 is, 4631 = 11 x 421.

#### Introduction to Prime Factors?

In mathematics, prime numbers are defined as all those natural numbers greater than 1 that has only two divisors one being number 1 and the other being the number itself. When we express any number as the products of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 4631 are 11 x 421.

#### 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 4631 but not a prime factor of 4631.

• Which is the smallest prime factor of 4631?

Smallest prime factor of 4631 is 11.

• What are the factors of 4631?

Factors of 4631 are 1 , 11 , 421 , 4631.

• What is prime factorization of 4631 in exponential form?

Prime factorization of 4631 in exponential form is 11 x 421.

• Is 4631 a prime number or a composite number?

4631 is a composite number.

• Is 4631 a prime number?

false, 4631 is not a prime number.

• What is the sum of all prime factors of 4631?

Prime factors of 4631 are 11 x 421. Therefore, their sum is 432.

• What is the product of all prime factors of 4631?

Prime factors of 4631 are 11 x 421. Therefore, their product is 4631.

• What numbers are the prime factors of 4631?

Prime factors of 4631 are 11 , 421.

• What is the sum of all odd prime factors of 4631?

Prime factors of 4631 are 11 , 421, out of which 11 , 421 are odd numbers. So, the sum of odd prime factors of 4631 is 11 + 421 = 432.