Prime Factors of 1692

Steps to find Prime Factors of 1692 by Division Method

To find the primefactors of 1692 using the division method, follow these steps:

• Step 1. Start dividing 1692 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 1692, which is 2. Divide 1692 by 2 to obtain the quotient (846).
  1692 ÷ 2 = 846
• Step 3. Repeat step 1 with the obtained quotient (846).
  846 ÷ 2 = 423
  423 ÷ 3 = 141
  141 ÷ 3 = 47
  47 ÷ 47 = 1

So, the prime factorization of 1692 is, 1692 = 2 x 2 x 3 x 3 x 47.

Steps to find Prime Factors of 1692 by Factor Tree Method

We can follow the same procedure using the factor tree of 1692 as shown below:

So, the prime factorization of 1692 is, 1692 = 2 x 2 x 3 x 3 x 47.

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 1692 are 2 x 2 x 3 x 3 x 47.

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 1692 but not a prime factor of 1692.

Frequently Asked Questions

• Which is the smallest prime factor of 1692?

  Smallest prime factor of 1692 is 2.

• What is the prime factorization of 1692?

  Prime factorization of 1692 is 2 x 2 x 3 x 3 x 47.

• What are the factors of 1692?

  Factors of 1692 are 1 , 2 , 3 , 4 , 6 , 9 , 12 , 18 , 36 , 47 , 94 , 141 , 188 , 282 , 423 , 564 , 846 , 1692.

• Is 1692 a prime number or a composite number?

  1692 is a composite number.

• Is 1692 a prime number?

  false, 1692 is not a prime number.

• Which is the largest prime factors of 1692?

  The largest prime factor of 1692 is 47.

• What is the sum of all prime factors of 1692?

  Prime factors of 1692 are 2 x 2 x 3 x 3 x 47. Therefore, their sum is 57.

• What numbers are the prime factors of 1692?

  Prime factors of 1692 are 2 , 2 , 3 , 3 , 47.

• What is the sum of all odd prime factors of 1692?

  Prime factors of 1692 are 2 , 2 , 3 , 3 , 47, out of which 3 , 3 , 47 are odd numbers. So, the sum of odd prime factors of 1692 is 3 + 3 + 47 = 53.