# Prime Factors of 501

Prime Factors of 501 are 3 and 167

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

 1.   Prime Factorization of 501 by Division Method 2.   Prime Factorization of 501 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 501 by Division Method

To find the primefactors of 501 using the division method, follow these steps:

• Step 1. Start dividing 501 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 501, which is 3. Divide 501 by 3 to obtain the quotient (167).
501 ÷ 3 = 167
• Step 3. Repeat step 1 with the obtained quotient (167).
167 ÷ 167 = 1

So, the prime factorization of 501 is, 501 = 3 x 167.

#### Steps to find Prime Factors of 501 by Factor Tree Method

We can follow the same procedure using the factor tree of 501 as shown below:

So, the prime factorization of 501 is, 501 = 3 x 167.

#### 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 501 are 3 x 167.

#### 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 501 but not a prime factor of 501.

• Which is the smallest prime factor of 501?

Smallest prime factor of 501 is 3.

• Is 501 a perfect square?

No 501 is not a perfect square.

• What is the prime factorization of 501?

Prime factorization of 501 is 3 x 167.

• What are the factors of 501?

Factors of 501 are 1 , 3 , 167 , 501.

• What is prime factorization of 501 in exponential form?

Prime factorization of 501 in exponential form is 3 x 167.

• Is 501 a prime number or a composite number?

501 is a composite number.

• Is 501 a prime number?

false, 501 is not a prime number.

• How to find prime factorization of 501 easily?

To find prime factorization of 501 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 501?

The largest prime factor of 501 is 167.