Prime Factors of 1716

Steps to find Prime Factors of 1716 by Division Method

To find the primefactors of 1716 using the division method, follow these steps:

• Step 1. Start dividing 1716 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 1716, which is 2. Divide 1716 by 2 to obtain the quotient (858).
  1716 ÷ 2 = 858
• Step 3. Repeat step 1 with the obtained quotient (858).
  858 ÷ 2 = 429
  429 ÷ 3 = 143
  143 ÷ 11 = 13
  13 ÷ 13 = 1

So, the prime factorization of 1716 is, 1716 = 2 x 2 x 3 x 11 x 13.

Steps to find Prime Factors of 1716 by Factor Tree Method

We can follow the same procedure using the factor tree of 1716 as shown below:

So, the prime factorization of 1716 is, 1716 = 2 x 2 x 3 x 11 x 13.

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 1716 are 2 x 2 x 3 x 11 x 13.

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 1716 but not a prime factor of 1716.

Frequently Asked Questions

• Which is the smallest prime factor of 1716?

  Smallest prime factor of 1716 is 2.

• What is the prime factorization of 1716?

  Prime factorization of 1716 is 2 x 2 x 3 x 11 x 13.

• What are the factors of 1716?

  Factors of 1716 are 1 , 2 , 3 , 4 , 6 , 11 , 12 , 13 , 22 , 26 , 33 , 39 , 44 , 52 , 66 , 78 , 132 , 143 , 156 , 286 , 429 , 572 , 858 , 1716.

• Is 1716 a prime number or a composite number?

  1716 is a composite number.

• Is 1716 a prime number?

  false, 1716 is not a prime number.

• Which is the largest prime factors of 1716?

  The largest prime factor of 1716 is 13.

• What is the sum of all prime factors of 1716?

  Prime factors of 1716 are 2 x 2 x 3 x 11 x 13. Therefore, their sum is 31.

• What numbers are the prime factors of 1716?

  Prime factors of 1716 are 2 , 2 , 3 , 11 , 13.

• What is the sum of all odd prime factors of 1716?

  Prime factors of 1716 are 2 , 2 , 3 , 11 , 13, out of which 3 , 11 , 13 are odd numbers. So, the sum of odd prime factors of 1716 is 3 + 11 + 13 = 27.