Prime Factors of 759

Steps to find Prime Factors of 759 by Division Method

To find the primefactors of 759 using the division method, follow these steps:

• Step 1. Start dividing 759 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 759, which is 3. Divide 759 by 3 to obtain the quotient (253).
  759 ÷ 3 = 253
• Step 3. Repeat step 1 with the obtained quotient (253).
  253 ÷ 11 = 23
  23 ÷ 23 = 1

So, the prime factorization of 759 is, 759 = 3 x 11 x 23.

Steps to find Prime Factors of 759 by Factor Tree Method

We can follow the same procedure using the factor tree of 759 as shown below:

So, the prime factorization of 759 is, 759 = 3 x 11 x 23.

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 759 are 3 x 11 x 23.

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 759 but not a prime factor of 759.

Frequently Asked Questions

• Which is the smallest prime factor of 759?

  Smallest prime factor of 759 is 3.

• What are the factors of 759?

  Factors of 759 are 1 , 3 , 11 , 23 , 33 , 69 , 253 , 759.

• What is prime factorization of 759 in exponential form?

  Prime factorization of 759 in exponential form is 3 x 11 x 23.

• Is 759 a prime number or a composite number?

  759 is a composite number.

• Is 759 a prime number?

  false, 759 is not a prime number.

• What is the sum of all prime factors of 759?

  Prime factors of 759 are 3 x 11 x 23. Therefore, their sum is 37.

• What is the product of all prime factors of 759?

  Prime factors of 759 are 3 x 11 x 23. Therefore, their product is 759.

• What numbers are the prime factors of 759?

  Prime factors of 759 are 3 , 11 , 23.

• What is the sum of all odd prime factors of 759?

  Prime factors of 759 are 3 , 11 , 23, out of which 3 , 11 , 23 are odd numbers. So, the sum of odd prime factors of 759 is 3 + 11 + 23 = 37.