Prime Factors of 755

Steps to find Prime Factors of 755 by Division Method

To find the primefactors of 755 using the division method, follow these steps:

• Step 1. Start dividing 755 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 755, which is 5. Divide 755 by 5 to obtain the quotient (151).
  755 ÷ 5 = 151
• Step 3. Repeat step 1 with the obtained quotient (151).
  151 ÷ 151 = 1

So, the prime factorization of 755 is, 755 = 5 x 151.

Steps to find Prime Factors of 755 by Factor Tree Method

We can follow the same procedure using the factor tree of 755 as shown below:

So, the prime factorization of 755 is, 755 = 5 x 151.

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 755 are 5 x 151.

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 755 but not a prime factor of 755.

Frequently Asked Questions

• Which is the smallest prime factor of 755?

  Smallest prime factor of 755 is 5.

• Is 755 a perfect square?

  No 755 is not a perfect square.

• What is the prime factorization of 755?

  Prime factorization of 755 is 5 x 151.

• What is prime factorization of 755 in exponential form?

  Prime factorization of 755 in exponential form is 5 x 151.

• Is 755 a prime number?

  false, 755 is not a prime number.

• Which is the largest prime factors of 755?

  The largest prime factor of 755 is 151.

• What is the product of all prime factors of 755?

  Prime factors of 755 are 5 x 151. Therefore, their product is 755.

• What is the sum of all odd prime factors of 755?

  Prime factors of 755 are 5 , 151, out of which 5 , 151 are odd numbers. So, the sum of odd prime factors of 755 is 5 + 151 = 156.

• What is the product of all odd prime factors of 755?

  Prime factors of 755 are 5 , 151, out of which 5 , 151 are odd numbers. So, the product of odd prime factors of 755 is 5 x 151 = 755.