Prime Factors of 1722

Steps to find Prime Factors of 1722 by Division Method

To find the primefactors of 1722 using the division method, follow these steps:

• Step 1. Start dividing 1722 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 1722, which is 2. Divide 1722 by 2 to obtain the quotient (861).
  1722 ÷ 2 = 861
• Step 3. Repeat step 1 with the obtained quotient (861).
  861 ÷ 3 = 287
  287 ÷ 7 = 41
  41 ÷ 41 = 1

So, the prime factorization of 1722 is, 1722 = 2 x 3 x 7 x 41.

Steps to find Prime Factors of 1722 by Factor Tree Method

We can follow the same procedure using the factor tree of 1722 as shown below:

So, the prime factorization of 1722 is, 1722 = 2 x 3 x 7 x 41.

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 1722 are 2 x 3 x 7 x 41.

Properties of Prime Factors

• Two prime factors of a given number are always coprime to each other.
• 2 is the only even prime factor any number can have.
• Two prime factors are always coprime to each other.
• 1 is neither a prime number nor a composite number and also 1 is the factor of every given number. So, 1 is the factor of 1722 but not a prime factor of 1722.

Frequently Asked Questions

• Is 1722 a prime number?

  false, 1722 is not a prime number.

• How to find prime factorization of 1722 easily?

  To find prime factorization of 1722 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 1722?

  The largest prime factor of 1722 is 41.

• What is the sum of all prime factors of 1722?

  Prime factors of 1722 are 2 x 3 x 7 x 41. Therefore, their sum is 53.

• What is the product of all prime factors of 1722?

  Prime factors of 1722 are 2 x 3 x 7 x 41. Therefore, their product is 1722.

• What numbers are the prime factors of 1722?

  Prime factors of 1722 are 2 , 3 , 7 , 41.

• What is the sum of all odd prime factors of 1722?

  Prime factors of 1722 are 2 , 3 , 7 , 41, out of which 3 , 7 , 41 are odd numbers. So, the sum of odd prime factors of 1722 is 3 + 7 + 41 = 51.

• Is there any even prime factor of 1722?

  Yes there is a even prime factor of 1722.

• What is the product of all odd prime factors of 1722?

  Prime factors of 1722 are 2 , 3 , 7 , 41, out of which 3 , 7 , 41 are odd numbers. So, the product of odd prime factors of 1722 is 3 x 7 x 41 = 861.