Prime Factors of 1755

Steps to find Prime Factors of 1755 by Division Method

To find the primefactors of 1755 using the division method, follow these steps:

• Step 1. Start dividing 1755 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 1755, which is 3. Divide 1755 by 3 to obtain the quotient (585).
  1755 ÷ 3 = 585
• Step 3. Repeat step 1 with the obtained quotient (585).
  585 ÷ 3 = 195
  195 ÷ 3 = 65
  65 ÷ 5 = 13
  13 ÷ 13 = 1

So, the prime factorization of 1755 is, 1755 = 3 x 3 x 3 x 5 x 13.

Steps to find Prime Factors of 1755 by Factor Tree Method

We can follow the same procedure using the factor tree of 1755 as shown below:

So, the prime factorization of 1755 is, 1755 = 3 x 3 x 3 x 5 x 13.

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 1755 are 3 x 3 x 3 x 5 x 13.

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 1755 but not a prime factor of 1755.

Frequently Asked Questions

• Which is the smallest prime factor of 1755?

  Smallest prime factor of 1755 is 3.

• Is 1755 a perfect square?

  No 1755 is not a perfect square.

• What is the prime factorization of 1755?

  Prime factorization of 1755 is 3 x 3 x 3 x 5 x 13.

• What is prime factorization of 1755 in exponential form?

  Prime factorization of 1755 in exponential form is 3³ x 5 x 13.

• Is 1755 a prime number?

  false, 1755 is not a prime number.

• Which is the largest prime factors of 1755?

  The largest prime factor of 1755 is 13.

• What is the product of all prime factors of 1755?

  Prime factors of 1755 are 3 x 3 x 3 x 5 x 13. Therefore, their product is 1755.

• What is the sum of all odd prime factors of 1755?

  Prime factors of 1755 are 3 , 3 , 3 , 5 , 13, out of which 3 , 3 , 3 , 5 , 13 are odd numbers. So, the sum of odd prime factors of 1755 is 3 + 3 + 3 + 5 + 13 = 27.

• What is the product of all odd prime factors of 1755?

  Prime factors of 1755 are 3 , 3 , 3 , 5 , 13, out of which 3 , 3 , 3 , 5 , 13 are odd numbers. So, the product of odd prime factors of 1755 is 3 x 3 x 3 x 5 x 13 = 1755.