Prime Factors of 2436

Steps to find Prime Factors of 2436 by Division Method

To find the primefactors of 2436 using the division method, follow these steps:

• Step 1. Start dividing 2436 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 2436, which is 2. Divide 2436 by 2 to obtain the quotient (1218).
  2436 ÷ 2 = 1218
• Step 3. Repeat step 1 with the obtained quotient (1218).
  1218 ÷ 2 = 609
  609 ÷ 3 = 203
  203 ÷ 7 = 29
  29 ÷ 29 = 1

So, the prime factorization of 2436 is, 2436 = 2 x 2 x 3 x 7 x 29.

Steps to find Prime Factors of 2436 by Factor Tree Method

We can follow the same procedure using the factor tree of 2436 as shown below:

So, the prime factorization of 2436 is, 2436 = 2 x 2 x 3 x 7 x 29.

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 2436 are 2 x 2 x 3 x 7 x 29.

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 2436 but not a prime factor of 2436.

Frequently Asked Questions

• Which is the smallest prime factor of 2436?

  Smallest prime factor of 2436 is 2.

• What is the prime factorization of 2436?

  Prime factorization of 2436 is 2 x 2 x 3 x 7 x 29.

• What are the factors of 2436?

  Factors of 2436 are 1 , 2 , 3 , 4 , 6 , 7 , 12 , 14 , 21 , 28 , 29 , 42 , 58 , 84 , 87 , 116 , 174 , 203 , 348 , 406 , 609 , 812 , 1218 , 2436.

• Is 2436 a prime number or a composite number?

  2436 is a composite number.

• Is 2436 a prime number?

  false, 2436 is not a prime number.

• Which is the largest prime factors of 2436?

  The largest prime factor of 2436 is 29.

• What is the sum of all prime factors of 2436?

  Prime factors of 2436 are 2 x 2 x 3 x 7 x 29. Therefore, their sum is 43.

• What numbers are the prime factors of 2436?

  Prime factors of 2436 are 2 , 2 , 3 , 7 , 29.

• What is the sum of all odd prime factors of 2436?

  Prime factors of 2436 are 2 , 2 , 3 , 7 , 29, out of which 3 , 7 , 29 are odd numbers. So, the sum of odd prime factors of 2436 is 3 + 7 + 29 = 39.