Prime Factors of 1247

Steps to find Prime Factors of 1247 by Division Method

To find the primefactors of 1247 using the division method, follow these steps:

• Step 1. Start dividing 1247 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 1247, which is 29. Divide 1247 by 29 to obtain the quotient (43).
  1247 ÷ 29 = 43
• Step 3. Repeat step 1 with the obtained quotient (43).
  43 ÷ 43 = 1

So, the prime factorization of 1247 is, 1247 = 29 x 43.

Steps to find Prime Factors of 1247 by Factor Tree Method

We can follow the same procedure using the factor tree of 1247 as shown below:

So, the prime factorization of 1247 is, 1247 = 29 x 43.

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 1247 are 29 x 43.

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 1247 but not a prime factor of 1247.

Frequently Asked Questions

• Which is the smallest prime factor of 1247?

  Smallest prime factor of 1247 is 29.

• What are the factors of 1247?

  Factors of 1247 are 1 , 29 , 43 , 1247.

• What is prime factorization of 1247 in exponential form?

  Prime factorization of 1247 in exponential form is 29 x 43.

• Is 1247 a prime number or a composite number?

  1247 is a composite number.

• Is 1247 a prime number?

  false, 1247 is not a prime number.

• What is the sum of all prime factors of 1247?

  Prime factors of 1247 are 29 x 43. Therefore, their sum is 72.

• What is the product of all prime factors of 1247?

  Prime factors of 1247 are 29 x 43. Therefore, their product is 1247.

• What numbers are the prime factors of 1247?

  Prime factors of 1247 are 29 , 43.

• What is the sum of all odd prime factors of 1247?

  Prime factors of 1247 are 29 , 43, out of which 29 , 43 are odd numbers. So, the sum of odd prime factors of 1247 is 29 + 43 = 72.