Prime Factors of 1249

Steps to find Prime Factors of 1249 by Division Method

To find the primefactors of 1249 using the division method, follow these steps:

• Step 1. Start dividing 1249 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 1249, which is 1249. Divide 1249 by 1249 to obtain the quotient (1).
  1249 ÷ 1249 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 1249 is, 1249 = 1249.

Steps to find Prime Factors of 1249 by Factor Tree Method

We can follow the same procedure using the factor tree of 1249 as shown below:

So, the prime factorization of 1249 is, 1249 = 1249.

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 1249 are 1249.

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 1249 but not a prime factor of 1249.

Frequently Asked Questions

• Which is the smallest prime factor of 1249?

  Smallest prime factor of 1249 is 1249.

• What is the prime factorization of 1249?

  Prime factorization of 1249 is 1249.

• What is prime factorization of 1249 in exponential form?

  Prime factorization of 1249 in exponential form is 1249.

• Is 1249 a prime number or a composite number?

  1249 is a prime number.

• Is 1249 a prime number?

  true, 1249 is a prime number.

• How to find prime factorization of 1249 easily?

  To find prime factorization of 1249 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 1249?

  The largest prime factor of 1249 is 1249.

• What is the product of all prime factors of 1249?

  Prime factors of 1249 are 1249. Therefore, their product is 1249.

• What is the sum of all odd prime factors of 1249?

  Prime factors of 1249 are 1249, out of which 1249 are odd numbers. So, the sum of odd prime factors of 1249 is 1249 = 1249.