Prime Factors of 1215

Steps to find Prime Factors of 1215 by Division Method

To find the primefactors of 1215 using the division method, follow these steps:

• Step 1. Start dividing 1215 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 1215, which is 3. Divide 1215 by 3 to obtain the quotient (405).
  1215 ÷ 3 = 405
• Step 3. Repeat step 1 with the obtained quotient (405).
  405 ÷ 3 = 135
  135 ÷ 3 = 45
  45 ÷ 3 = 15
  15 ÷ 3 = 5
  5 ÷ 5 = 1

So, the prime factorization of 1215 is, 1215 = 3 x 3 x 3 x 3 x 3 x 5.

Steps to find Prime Factors of 1215 by Factor Tree Method

We can follow the same procedure using the factor tree of 1215 as shown below:

So, the prime factorization of 1215 is, 1215 = 3 x 3 x 3 x 3 x 3 x 5.

Definition of Prime Factors?

In mathematics, prime numbers are defined as all those whole numbers greater than 1 that have only two factors, i.e. 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 1215 are 3 x 3 x 3 x 3 x 3 x 5.

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 1215 but not a prime factor of 1215.

Frequently Asked Questions

• Which is the smallest prime factor of 1215?

  Smallest prime factor of 1215 is 3.

• What are the factors of 1215?

  Factors of 1215 are 1 , 3 , 5 , 9 , 15 , 27 , 45 , 81 , 135 , 243 , 405 , 1215.

• What is prime factorization of 1215 in exponential form?

  Prime factorization of 1215 in exponential form is 3⁵ x 5.

• Is 1215 a prime number or a composite number?

  1215 is a composite number.

• Is 1215 a prime number?

  false, 1215 is not a prime number.

• What is the sum of all prime factors of 1215?

  Prime factors of 1215 are 3 x 3 x 3 x 3 x 3 x 5. Therefore, their sum is 20.

• What is the product of all prime factors of 1215?

  Prime factors of 1215 are 3 x 3 x 3 x 3 x 3 x 5. Therefore, their product is 1215.

• What numbers are the prime factors of 1215?

  Prime factors of 1215 are 3 , 3 , 3 , 3 , 3 , 5.

• What is the sum of all odd prime factors of 1215?

  Prime factors of 1215 are 3 , 3 , 3 , 3 , 3 , 5, out of which 3 , 3 , 3 , 3 , 3 , 5 are odd numbers. So, the sum of odd prime factors of 1215 is 3 + 3 + 3 + 3 + 3 + 5 = 20.