Prime Factors of 2523

Steps to find Prime Factors of 2523 by Division Method

To find the primefactors of 2523 using the division method, follow these steps:

• Step 1. Start dividing 2523 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 2523, which is 3. Divide 2523 by 3 to obtain the quotient (841).
  2523 ÷ 3 = 841
• Step 3. Repeat step 1 with the obtained quotient (841).
  841 ÷ 29 = 29
  29 ÷ 29 = 1

So, the prime factorization of 2523 is, 2523 = 3 x 29 x 29.

Steps to find Prime Factors of 2523 by Factor Tree Method

We can follow the same procedure using the factor tree of 2523 as shown below:

So, the prime factorization of 2523 is, 2523 = 3 x 29 x 29.

What does Prime factor in mathematics mean?

Prime numbers, in mathematics are all those whole numbers greater than 1 having exactly two divisors that is 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 2523 are 3 x 29 x 29.

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 2523 but not a prime factor of 2523.

Frequently Asked Questions

• Which is the smallest prime factor of 2523?

  Smallest prime factor of 2523 is 3.

• Is 2523 a perfect square?

  No 2523 is not a perfect square.

• What is the prime factorization of 2523?

  Prime factorization of 2523 is 3 x 29 x 29.

• What is prime factorization of 2523 in exponential form?

  Prime factorization of 2523 in exponential form is 3 x 29².

• Is 2523 a prime number?

  false, 2523 is not a prime number.

• Which is the largest prime factors of 2523?

  The largest prime factor of 2523 is 29.

• What is the product of all prime factors of 2523?

  Prime factors of 2523 are 3 x 29 x 29. Therefore, their product is 2523.

• What is the sum of all odd prime factors of 2523?

  Prime factors of 2523 are 3 , 29 , 29, out of which 3 , 29 , 29 are odd numbers. So, the sum of odd prime factors of 2523 is 3 + 29 + 29 = 61.

• What is the product of all odd prime factors of 2523?

  Prime factors of 2523 are 3 , 29 , 29, out of which 3 , 29 , 29 are odd numbers. So, the product of odd prime factors of 2523 is 3 x 29 x 29 = 2523.