Prime Factors of 1872

Steps to find Prime Factors of 1872 by Division Method

To find the primefactors of 1872 using the division method, follow these steps:

• Step 1. Start dividing 1872 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 1872, which is 2. Divide 1872 by 2 to obtain the quotient (936).
  1872 ÷ 2 = 936
• Step 3. Repeat step 1 with the obtained quotient (936).
  936 ÷ 2 = 468
  468 ÷ 2 = 234
  234 ÷ 2 = 117
  117 ÷ 3 = 39
  39 ÷ 3 = 13
  13 ÷ 13 = 1

So, the prime factorization of 1872 is, 1872 = 2 x 2 x 2 x 2 x 3 x 3 x 13.

Steps to find Prime Factors of 1872 by Factor Tree Method

We can follow the same procedure using the factor tree of 1872 as shown below:

So, the prime factorization of 1872 is, 1872 = 2 x 2 x 2 x 2 x 3 x 3 x 13.

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 1872 are 2 x 2 x 2 x 2 x 3 x 3 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 1872 but not a prime factor of 1872.

Frequently Asked Questions

• Which is the smallest prime factor of 1872?

  Smallest prime factor of 1872 is 2.

• Is 1872 a perfect square?

  No 1872 is not a perfect square.

• What is the prime factorization of 1872?

  Prime factorization of 1872 is 2 x 2 x 2 x 2 x 3 x 3 x 13.

• What is prime factorization of 1872 in exponential form?

  Prime factorization of 1872 in exponential form is 2⁴ x 3² x 13.

• Is 1872 a prime number or a composite number?

  1872 is a composite number.

• Which is the largest prime factors of 1872?

  The largest prime factor of 1872 is 13.

• What is the product of all prime factors of 1872?

  Prime factors of 1872 are 2 x 2 x 2 x 2 x 3 x 3 x 13. Therefore, their product is 1872.

• What numbers are the prime factors of 1872?

  Prime factors of 1872 are 2 , 2 , 2 , 2 , 3 , 3 , 13.

• Is there any even prime factor of 1872?

  Yes there is a even prime factor of 1872.