Prime Factors of 502

Steps to find Prime Factors of 502 by Division Method

To find the primefactors of 502 using the division method, follow these steps:

• Step 1. Start dividing 502 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 502, which is 2. Divide 502 by 2 to obtain the quotient (251).
  502 ÷ 2 = 251
• Step 3. Repeat step 1 with the obtained quotient (251).
  251 ÷ 251 = 1

So, the prime factorization of 502 is, 502 = 2 x 251.

Steps to find Prime Factors of 502 by Factor Tree Method

We can follow the same procedure using the factor tree of 502 as shown below:

So, the prime factorization of 502 is, 502 = 2 x 251.

How do you define Prime Factors of a number?

Prime numbers, in mathematics are all those natural numbers greater than 1 that have exactly 2 factors which are 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 502 are 2 x 251.

Properties of Prime Factors

• Two prime factors of a given number are always coprime to each other.
• 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 502 but not a prime factor of 502.

Frequently Asked Questions

• Which is the smallest prime factor of 502?

  Smallest prime factor of 502 is 2.

• Is 502 a perfect square?

  No 502 is not a perfect square.

• What is the prime factorization of 502?

  Prime factorization of 502 is 2 x 251.

• What are the factors of 502?

  Factors of 502 are 1 , 2 , 251 , 502.

• What is the product of all prime factors of 502?

  Prime factors of 502 are 2 x 251. Therefore, their product is 502.

• What numbers are the prime factors of 502?

  Prime factors of 502 are 2 , 251.

• What is the sum of all odd prime factors of 502?

  Prime factors of 502 are 2 , 251, out of which 251 are odd numbers. So, the sum of odd prime factors of 502 is 251 = 251.

• Is there any even prime factor of 502?

  Yes there is a even prime factor of 502.

• What is the product of all odd prime factors of 502?

  Prime factors of 502 are 2 , 251, out of which 251 are odd numbers. So, the product of odd prime factors of 502 is 251 = 251.