Prime Factors of 2574

Steps to find Prime Factors of 2574 by Division Method

To find the primefactors of 2574 using the division method, follow these steps:

• Step 1. Start dividing 2574 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 2574, which is 2. Divide 2574 by 2 to obtain the quotient (1287).
  2574 ÷ 2 = 1287
• Step 3. Repeat step 1 with the obtained quotient (1287).
  1287 ÷ 3 = 429
  429 ÷ 3 = 143
  143 ÷ 11 = 13
  13 ÷ 13 = 1

So, the prime factorization of 2574 is, 2574 = 2 x 3 x 3 x 11 x 13.

Steps to find Prime Factors of 2574 by Factor Tree Method

We can follow the same procedure using the factor tree of 2574 as shown below:

So, the prime factorization of 2574 is, 2574 = 2 x 3 x 3 x 11 x 13.

What does Prime factor of a number mean?

A prime number in mathematics is defined as any natural number greater than 1, that is not divisible by any number except 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 2574 are 2 x 3 x 3 x 11 x 13.

Properties of Prime Factors

• Two prime factors of a given number are always coprime to each other.
• 2 is the only even prime factor any number can have.
• Two prime factors 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 2574 but not a prime factor of 2574.

Frequently Asked Questions

• Which is the smallest prime factor of 2574?

  Smallest prime factor of 2574 is 2.

• Is 2574 a perfect square?

  No 2574 is not a perfect square.

• What is the prime factorization of 2574?

  Prime factorization of 2574 is 2 x 3 x 3 x 11 x 13.

• What are the factors of 2574?

  Factors of 2574 are 1 , 2 , 3 , 6 , 9 , 11 , 13 , 18 , 22 , 26 , 33 , 39 , 66 , 78 , 99 , 117 , 143 , 198 , 234 , 286 , 429 , 858 , 1287 , 2574.

• What is the product of all prime factors of 2574?

  Prime factors of 2574 are 2 x 3 x 3 x 11 x 13. Therefore, their product is 2574.

• What numbers are the prime factors of 2574?

  Prime factors of 2574 are 2 , 3 , 3 , 11 , 13.

• What is the sum of all odd prime factors of 2574?

  Prime factors of 2574 are 2 , 3 , 3 , 11 , 13, out of which 3 , 3 , 11 , 13 are odd numbers. So, the sum of odd prime factors of 2574 is 3 + 3 + 11 + 13 = 30.

• Is there any even prime factor of 2574?

  Yes there is a even prime factor of 2574.

• What is the product of all odd prime factors of 2574?

  Prime factors of 2574 are 2 , 3 , 3 , 11 , 13, out of which 3 , 3 , 11 , 13 are odd numbers. So, the product of odd prime factors of 2574 is 3 x 3 x 11 x 13 = 1287.