Prime Factors of 1705

Steps to find Prime Factors of 1705 by Division Method

To find the primefactors of 1705 using the division method, follow these steps:

• Step 1. Start dividing 1705 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 1705, which is 5. Divide 1705 by 5 to obtain the quotient (341).
  1705 ÷ 5 = 341
• Step 3. Repeat step 1 with the obtained quotient (341).
  341 ÷ 11 = 31
  31 ÷ 31 = 1

So, the prime factorization of 1705 is, 1705 = 5 x 11 x 31.

Steps to find Prime Factors of 1705 by Factor Tree Method

We can follow the same procedure using the factor tree of 1705 as shown below:

So, the prime factorization of 1705 is, 1705 = 5 x 11 x 31.

Definition of Prime Factors?

In mathematics, prime numbers are defined as all those whole numbers greater than 1 that have only two factors, i.e. 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 1705 are 5 x 11 x 31.

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 1705 but not a prime factor of 1705.

Frequently Asked Questions

• Which is the smallest prime factor of 1705?

  Smallest prime factor of 1705 is 5.

• What is the prime factorization of 1705?

  Prime factorization of 1705 is 5 x 11 x 31.

• What is prime factorization of 1705 in exponential form?

  Prime factorization of 1705 in exponential form is 5 x 11 x 31.

• Is 1705 a prime number or a composite number?

  1705 is a composite number.

• Is 1705 a prime number?

  false, 1705 is not a prime number.

• How to find prime factorization of 1705 easily?

  To find prime factorization of 1705 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 1705?

  The largest prime factor of 1705 is 31.

• What is the product of all prime factors of 1705?

  Prime factors of 1705 are 5 x 11 x 31. Therefore, their product is 1705.

• What is the sum of all odd prime factors of 1705?

  Prime factors of 1705 are 5 , 11 , 31, out of which 5 , 11 , 31 are odd numbers. So, the sum of odd prime factors of 1705 is 5 + 11 + 31 = 47.