Prime Factors of 852

Steps to find Prime Factors of 852 by Division Method

To find the primefactors of 852 using the division method, follow these steps:

• Step 1. Start dividing 852 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 852, which is 2. Divide 852 by 2 to obtain the quotient (426).
  852 ÷ 2 = 426
• Step 3. Repeat step 1 with the obtained quotient (426).
  426 ÷ 2 = 213
  213 ÷ 3 = 71
  71 ÷ 71 = 1

So, the prime factorization of 852 is, 852 = 2 x 2 x 3 x 71.

Steps to find Prime Factors of 852 by Factor Tree Method

We can follow the same procedure using the factor tree of 852 as shown below:

So, the prime factorization of 852 is, 852 = 2 x 2 x 3 x 71.

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 852 are 2 x 2 x 3 x 71.

Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• Any number can have only 1 even prime factor and that is number 2.
• Two prime factors are always coprime to each other.
• 1 is the factor of any given number, but 1 is neither a prime number nor a composite number. So, 1 is the factor of 852 but not a prime factor of 852.

Frequently Asked Questions

• Which is the smallest prime factor of 852?

  Smallest prime factor of 852 is 2.

• What is the prime factorization of 852?

  Prime factorization of 852 is 2 x 2 x 3 x 71.

• What are the factors of 852?

  Factors of 852 are 1 , 2 , 3 , 4 , 6 , 12 , 71 , 142 , 213 , 284 , 426 , 852.

• Is 852 a prime number or a composite number?

  852 is a composite number.

• Is 852 a prime number?

  false, 852 is not a prime number.

• Which is the largest prime factors of 852?

  The largest prime factor of 852 is 71.

• What is the sum of all prime factors of 852?

  Prime factors of 852 are 2 x 2 x 3 x 71. Therefore, their sum is 78.

• What numbers are the prime factors of 852?

  Prime factors of 852 are 2 , 2 , 3 , 71.

• What is the sum of all odd prime factors of 852?

  Prime factors of 852 are 2 , 2 , 3 , 71, out of which 3 , 71 are odd numbers. So, the sum of odd prime factors of 852 is 3 + 71 = 74.