Prime Factors of 436

Steps to find Prime Factors of 436 by Division Method

To find the primefactors of 436 using the division method, follow these steps:

• Step 1. Start dividing 436 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 436, which is 2. Divide 436 by 2 to obtain the quotient (218).
  436 ÷ 2 = 218
• Step 3. Repeat step 1 with the obtained quotient (218).
  218 ÷ 2 = 109
  109 ÷ 109 = 1

So, the prime factorization of 436 is, 436 = 2 x 2 x 109.

Steps to find Prime Factors of 436 by Factor Tree Method

We can follow the same procedure using the factor tree of 436 as shown below:

So, the prime factorization of 436 is, 436 = 2 x 2 x 109.

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 436 are 2 x 2 x 109.

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 436 but not a prime factor of 436.

Frequently Asked Questions

• Which is the smallest prime factor of 436?

  Smallest prime factor of 436 is 2.

• What is the prime factorization of 436?

  Prime factorization of 436 is 2 x 2 x 109.

• What are the factors of 436?

  Factors of 436 are 1 , 2 , 4 , 109 , 218 , 436.

• Is 436 a prime number or a composite number?

  436 is a composite number.

• Is 436 a prime number?

  false, 436 is not a prime number.

• Which is the largest prime factors of 436?

  The largest prime factor of 436 is 109.

• What is the sum of all prime factors of 436?

  Prime factors of 436 are 2 x 2 x 109. Therefore, their sum is 113.

• What numbers are the prime factors of 436?

  Prime factors of 436 are 2 , 2 , 109.

• What is the sum of all odd prime factors of 436?

  Prime factors of 436 are 2 , 2 , 109, out of which 109 are odd numbers. So, the sum of odd prime factors of 436 is 109 = 109.