Prime Factors of 1836

Steps to find Prime Factors of 1836 by Division Method

To find the primefactors of 1836 using the division method, follow these steps:

• Step 1. Start dividing 1836 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 1836, which is 2. Divide 1836 by 2 to obtain the quotient (918).
  1836 ÷ 2 = 918
• Step 3. Repeat step 1 with the obtained quotient (918).
  918 ÷ 2 = 459
  459 ÷ 3 = 153
  153 ÷ 3 = 51
  51 ÷ 3 = 17
  17 ÷ 17 = 1

So, the prime factorization of 1836 is, 1836 = 2 x 2 x 3 x 3 x 3 x 17.

Steps to find Prime Factors of 1836 by Factor Tree Method

We can follow the same procedure using the factor tree of 1836 as shown below:

So, the prime factorization of 1836 is, 1836 = 2 x 2 x 3 x 3 x 3 x 17.

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 1836 are 2 x 2 x 3 x 3 x 3 x 17.

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 1836 but not a prime factor of 1836.

Frequently Asked Questions

• Which is the smallest prime factor of 1836?

  Smallest prime factor of 1836 is 2.

• What is the prime factorization of 1836?

  Prime factorization of 1836 is 2 x 2 x 3 x 3 x 3 x 17.

• What are the factors of 1836?

  Factors of 1836 are 1 , 2 , 3 , 4 , 6 , 9 , 12 , 17 , 18 , 27 , 34 , 36 , 51 , 54 , 68 , 102 , 108 , 153 , 204 , 306 , 459 , 612 , 918 , 1836.

• Is 1836 a prime number or a composite number?

  1836 is a composite number.

• Is 1836 a prime number?

  false, 1836 is not a prime number.

• Which is the largest prime factors of 1836?

  The largest prime factor of 1836 is 17.

• What is the sum of all prime factors of 1836?

  Prime factors of 1836 are 2 x 2 x 3 x 3 x 3 x 17. Therefore, their sum is 30.

• What numbers are the prime factors of 1836?

  Prime factors of 1836 are 2 , 2 , 3 , 3 , 3 , 17.

• What is the sum of all odd prime factors of 1836?

  Prime factors of 1836 are 2 , 2 , 3 , 3 , 3 , 17, out of which 3 , 3 , 3 , 17 are odd numbers. So, the sum of odd prime factors of 1836 is 3 + 3 + 3 + 17 = 26.