Prime Factors of 486

Steps to find Prime Factors of 486 by Division Method

To find the primefactors of 486 using the division method, follow these steps:

• Step 1. Start dividing 486 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 486, which is 2. Divide 486 by 2 to obtain the quotient (243).
  486 ÷ 2 = 243
• Step 3. Repeat step 1 with the obtained quotient (243).
  243 ÷ 3 = 81
  81 ÷ 3 = 27
  27 ÷ 3 = 9
  9 ÷ 3 = 3
  3 ÷ 3 = 1

So, the prime factorization of 486 is, 486 = 2 x 3 x 3 x 3 x 3 x 3.

Steps to find Prime Factors of 486 by Factor Tree Method

We can follow the same procedure using the factor tree of 486 as shown below:

So, the prime factorization of 486 is, 486 = 2 x 3 x 3 x 3 x 3 x 3.

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 486 are 2 x 3 x 3 x 3 x 3 x 3.

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 486 but not a prime factor of 486.

Frequently Asked Questions

• Which is the smallest prime factor of 486?

  Smallest prime factor of 486 is 2.

• Is 486 a perfect square?

  No 486 is not a perfect square.

• What is the prime factorization of 486?

  Prime factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3.

• What are the factors of 486?

  Factors of 486 are 1 , 2 , 3 , 6 , 9 , 18 , 27 , 54 , 81 , 162 , 243 , 486.

• What is the product of all prime factors of 486?

  Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3. Therefore, their product is 486.

• What numbers are the prime factors of 486?

  Prime factors of 486 are 2 , 3 , 3 , 3 , 3 , 3.

• What is the sum of all odd prime factors of 486?

  Prime factors of 486 are 2 , 3 , 3 , 3 , 3 , 3, out of which 3 , 3 , 3 , 3 , 3 are odd numbers. So, the sum of odd prime factors of 486 is 3 + 3 + 3 + 3 + 3 = 15.

• Is there any even prime factor of 486?

  Yes there is a even prime factor of 486.

• What is the product of all odd prime factors of 486?

  Prime factors of 486 are 2 , 3 , 3 , 3 , 3 , 3, out of which 3 , 3 , 3 , 3 , 3 are odd numbers. So, the product of odd prime factors of 486 is 3 x 3 x 3 x 3 x 3 = 243.