Prime Factors of 2457

Prime Factors of 2457 are 3, 3, 3, 7, and 13

How to find prime factors of a number

 1.   Prime Factorization of 2457 by Division Method 2.   Prime Factorization of 2457 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

Steps to find Prime Factors of 2457 by Division Method

To find the primefactors of 2457 using the division method, follow these steps:

• Step 1. Start dividing 2457 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 2457, which is 3. Divide 2457 by 3 to obtain the quotient (819).
2457 ÷ 3 = 819
• Step 3. Repeat step 1 with the obtained quotient (819).
819 ÷ 3 = 273
273 ÷ 3 = 91
91 ÷ 7 = 13
13 ÷ 13 = 1

So, the prime factorization of 2457 is, 2457 = 3 x 3 x 3 x 7 x 13.

Steps to find Prime Factors of 2457 by Factor Tree Method

We can follow the same procedure using the factor tree of 2457 as shown below:

So, the prime factorization of 2457 is, 2457 = 3 x 3 x 3 x 7 x 13.

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 2457 are 3 x 3 x 3 x 7 x 13.

Properties of Prime Factors

• Prime factors are the set of factors that are unique to the number given.
• 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 2457 but not a prime factor of 2457.

Frequently Asked Questions

• Which is the smallest prime factor of 2457?

Smallest prime factor of 2457 is 3.

• What is the prime factorization of 2457?

Prime factorization of 2457 is 3 x 3 x 3 x 7 x 13.

• What is prime factorization of 2457 in exponential form?

Prime factorization of 2457 in exponential form is 33 x 7 x 13.

• Is 2457 a prime number or a composite number?

2457 is a composite number.

• Is 2457 a prime number?

false, 2457 is not a prime number.

• How to find prime factorization of 2457 easily?

To find prime factorization of 2457 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 2457?

The largest prime factor of 2457 is 13.

• What is the product of all prime factors of 2457?

Prime factors of 2457 are 3 x 3 x 3 x 7 x 13. Therefore, their product is 2457.

• What is the sum of all odd prime factors of 2457?

Prime factors of 2457 are 3 , 3 , 3 , 7 , 13, out of which 3 , 3 , 3 , 7 , 13 are odd numbers. So, the sum of odd prime factors of 2457 is 3 + 3 + 3 + 7 + 13 = 29.

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