Prime Factors of 1567

Steps to find Prime Factors of 1567 by Division Method

To find the primefactors of 1567 using the division method, follow these steps:

• Step 1. Start dividing 1567 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 1567, which is 1567. Divide 1567 by 1567 to obtain the quotient (1).
  1567 ÷ 1567 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 1567 is, 1567 = 1567.

Steps to find Prime Factors of 1567 by Factor Tree Method

We can follow the same procedure using the factor tree of 1567 as shown below:

So, the prime factorization of 1567 is, 1567 = 1567.

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 1567 are 1567.

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 1567 but not a prime factor of 1567.

Frequently Asked Questions

• Which is the smallest prime factor of 1567?

  Smallest prime factor of 1567 is 1567.

• What are the factors of 1567?

  Factors of 1567 are 1 , 1567.

• What is prime factorization of 1567 in exponential form?

  Prime factorization of 1567 in exponential form is 1567.

• Is 1567 a prime number or a composite number?

  1567 is a prime number.

• Is 1567 a prime number?

  true, 1567 is a prime number.

• What is the sum of all prime factors of 1567?

  Prime factors of 1567 are 1567. Therefore, their sum is 1567.

• What is the product of all prime factors of 1567?

  Prime factors of 1567 are 1567. Therefore, their product is 1567.

• What numbers are the prime factors of 1567?

  Prime factors of 1567 are 1567.

• What is the sum of all odd prime factors of 1567?

  Prime factors of 1567 are 1567, out of which 1567 are odd numbers. So, the sum of odd prime factors of 1567 is 1567 = 1567.