Prime Factors of 882

Steps to find Prime Factors of 882 by Division Method

To find the primefactors of 882 using the division method, follow these steps:

• Step 1. Start dividing 882 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 882, which is 2. Divide 882 by 2 to obtain the quotient (441).
  882 ÷ 2 = 441
• Step 3. Repeat step 1 with the obtained quotient (441).
  441 ÷ 3 = 147
  147 ÷ 3 = 49
  49 ÷ 7 = 7
  7 ÷ 7 = 1

So, the prime factorization of 882 is, 882 = 2 x 3 x 3 x 7 x 7.

Steps to find Prime Factors of 882 by Factor Tree Method

We can follow the same procedure using the factor tree of 882 as shown below:

So, the prime factorization of 882 is, 882 = 2 x 3 x 3 x 7 x 7.

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 882 are 2 x 3 x 3 x 7 x 7.

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 882 but not a prime factor of 882.

Frequently Asked Questions

• Is 882 a prime number?

  false, 882 is not a prime number.

• How to find prime factorization of 882 easily?

  To find prime factorization of 882 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 882?

  The largest prime factor of 882 is 7.

• What is the sum of all prime factors of 882?

  Prime factors of 882 are 2 x 3 x 3 x 7 x 7. Therefore, their sum is 22.

• What is the product of all prime factors of 882?

  Prime factors of 882 are 2 x 3 x 3 x 7 x 7. Therefore, their product is 882.

• What numbers are the prime factors of 882?

  Prime factors of 882 are 2 , 3 , 3 , 7 , 7.

• What is the sum of all odd prime factors of 882?

  Prime factors of 882 are 2 , 3 , 3 , 7 , 7, out of which 3 , 3 , 7 , 7 are odd numbers. So, the sum of odd prime factors of 882 is 3 + 3 + 7 + 7 = 20.

• Is there any even prime factor of 882?

  Yes there is a even prime factor of 882.

• What is the product of all odd prime factors of 882?

  Prime factors of 882 are 2 , 3 , 3 , 7 , 7, out of which 3 , 3 , 7 , 7 are odd numbers. So, the product of odd prime factors of 882 is 3 x 3 x 7 x 7 = 441.