Prime Factors of 2187

Steps to find Prime Factors of 2187 by Division Method

To find the primefactors of 2187 using the division method, follow these steps:

• Step 1. Start dividing 2187 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 2187, which is 3. Divide 2187 by 3 to obtain the quotient (729).
  2187 ÷ 3 = 729
• Step 3. Repeat step 1 with the obtained quotient (729).
  729 ÷ 3 = 243
  243 ÷ 3 = 81
  81 ÷ 3 = 27
  27 ÷ 3 = 9
  9 ÷ 3 = 3
  3 ÷ 3 = 1

So, the prime factorization of 2187 is, 2187 = 3 x 3 x 3 x 3 x 3 x 3 x 3.

Steps to find Prime Factors of 2187 by Factor Tree Method

We can follow the same procedure using the factor tree of 2187 as shown below:

So, the prime factorization of 2187 is, 2187 = 3 x 3 x 3 x 3 x 3 x 3 x 3.

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 2187 are 3 x 3 x 3 x 3 x 3 x 3 x 3.

Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• 2 is the only even prime number. So, any given number can have only one even prime factor and that is 2.
• Two prime factors of a given number 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 2187 but not a prime factor of 2187.

Frequently Asked Questions

• Which is the smallest prime factor of 2187?

  Smallest prime factor of 2187 is 3.

• Is 2187 a perfect square?

  No 2187 is not a perfect square.

• What is the prime factorization of 2187?

  Prime factorization of 2187 is 3 x 3 x 3 x 3 x 3 x 3 x 3.

• What is prime factorization of 2187 in exponential form?

  Prime factorization of 2187 in exponential form is 3⁷.

• Is 2187 a prime number?

  false, 2187 is not a prime number.

• Which is the largest prime factors of 2187?

  The largest prime factor of 2187 is 3.

• What is the product of all prime factors of 2187?

  Prime factors of 2187 are 3 x 3 x 3 x 3 x 3 x 3 x 3. Therefore, their product is 2187.

• What is the sum of all odd prime factors of 2187?

  Prime factors of 2187 are 3 , 3 , 3 , 3 , 3 , 3 , 3, out of which 3 , 3 , 3 , 3 , 3 , 3 , 3 are odd numbers. So, the sum of odd prime factors of 2187 is 3 + 3 + 3 + 3 + 3 + 3 + 3 = 21.

• What is the product of all odd prime factors of 2187?

  Prime factors of 2187 are 3 , 3 , 3 , 3 , 3 , 3 , 3, out of which 3 , 3 , 3 , 3 , 3 , 3 , 3 are odd numbers. So, the product of odd prime factors of 2187 is 3 x 3 x 3 x 3 x 3 x 3 x 3 = 2187.