Prime Factors of 1267

Steps to find Prime Factors of 1267 by Division Method

To find the primefactors of 1267 using the division method, follow these steps:

• Step 1. Start dividing 1267 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 1267, which is 7. Divide 1267 by 7 to obtain the quotient (181).
  1267 ÷ 7 = 181
• Step 3. Repeat step 1 with the obtained quotient (181).
  181 ÷ 181 = 1

So, the prime factorization of 1267 is, 1267 = 7 x 181.

Steps to find Prime Factors of 1267 by Factor Tree Method

We can follow the same procedure using the factor tree of 1267 as shown below:

So, the prime factorization of 1267 is, 1267 = 7 x 181.

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 1267 are 7 x 181.

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 1267 but not a prime factor of 1267.

Frequently Asked Questions

• Which is the smallest prime factor of 1267?

  Smallest prime factor of 1267 is 7.

• Is 1267 a perfect square?

  No 1267 is not a perfect square.

• What is the prime factorization of 1267?

  Prime factorization of 1267 is 7 x 181.

• What is prime factorization of 1267 in exponential form?

  Prime factorization of 1267 in exponential form is 7 x 181.

• Is 1267 a prime number?

  false, 1267 is not a prime number.

• Which is the largest prime factors of 1267?

  The largest prime factor of 1267 is 181.

• What is the product of all prime factors of 1267?

  Prime factors of 1267 are 7 x 181. Therefore, their product is 1267.

• What is the sum of all odd prime factors of 1267?

  Prime factors of 1267 are 7 , 181, out of which 7 , 181 are odd numbers. So, the sum of odd prime factors of 1267 is 7 + 181 = 188.

• What is the product of all odd prime factors of 1267?

  Prime factors of 1267 are 7 , 181, out of which 7 , 181 are odd numbers. So, the product of odd prime factors of 1267 is 7 x 181 = 1267.