Prime Factors of 2907

Steps to find Prime Factors of 2907 by Division Method

To find the primefactors of 2907 using the division method, follow these steps:

• Step 1. Start dividing 2907 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 2907, which is 3. Divide 2907 by 3 to obtain the quotient (969).
  2907 ÷ 3 = 969
• Step 3. Repeat step 1 with the obtained quotient (969).
  969 ÷ 3 = 323
  323 ÷ 17 = 19
  19 ÷ 19 = 1

So, the prime factorization of 2907 is, 2907 = 3 x 3 x 17 x 19.

Steps to find Prime Factors of 2907 by Factor Tree Method

We can follow the same procedure using the factor tree of 2907 as shown below:

So, the prime factorization of 2907 is, 2907 = 3 x 3 x 17 x 19.

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 2907 are 3 x 3 x 17 x 19.

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 2907 but not a prime factor of 2907.

Frequently Asked Questions

• Which is the smallest prime factor of 2907?

  Smallest prime factor of 2907 is 3.

• Is 2907 a perfect square?

  No 2907 is not a perfect square.

• What is the prime factorization of 2907?

  Prime factorization of 2907 is 3 x 3 x 17 x 19.

• What is prime factorization of 2907 in exponential form?

  Prime factorization of 2907 in exponential form is 3² x 17 x 19.

• Is 2907 a prime number?

  false, 2907 is not a prime number.

• Which is the largest prime factors of 2907?

  The largest prime factor of 2907 is 19.

• What is the product of all prime factors of 2907?

  Prime factors of 2907 are 3 x 3 x 17 x 19. Therefore, their product is 2907.

• What is the sum of all odd prime factors of 2907?

  Prime factors of 2907 are 3 , 3 , 17 , 19, out of which 3 , 3 , 17 , 19 are odd numbers. So, the sum of odd prime factors of 2907 is 3 + 3 + 17 + 19 = 42.

• What is the product of all odd prime factors of 2907?

  Prime factors of 2907 are 3 , 3 , 17 , 19, out of which 3 , 3 , 17 , 19 are odd numbers. So, the product of odd prime factors of 2907 is 3 x 3 x 17 x 19 = 2907.