Prime Factors of 1709

Steps to find Prime Factors of 1709 by Division Method

To find the primefactors of 1709 using the division method, follow these steps:

• Step 1. Start dividing 1709 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 1709, which is 1709. Divide 1709 by 1709 to obtain the quotient (1).
  1709 ÷ 1709 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 1709 is, 1709 = 1709.

Steps to find Prime Factors of 1709 by Factor Tree Method

We can follow the same procedure using the factor tree of 1709 as shown below:

So, the prime factorization of 1709 is, 1709 = 1709.

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 1709 are 1709.

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 1709 but not a prime factor of 1709.

Frequently Asked Questions

• Which is the smallest prime factor of 1709?

  Smallest prime factor of 1709 is 1709.

• Is 1709 a perfect square?

  No 1709 is not a perfect square.

• What is the prime factorization of 1709?

  Prime factorization of 1709 is 1709.

• What are the factors of 1709?

  Factors of 1709 are 1 , 1709.

• What is prime factorization of 1709 in exponential form?

  Prime factorization of 1709 in exponential form is 1709.

• Is 1709 a prime number or a composite number?

  1709 is a prime number.

• Is 1709 a prime number?

  true, 1709 is a prime number.

• How to find prime factorization of 1709 easily?

  To find prime factorization of 1709 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 1709?

  The largest prime factor of 1709 is 1709.