Prime Factors of 749

Steps to find Prime Factors of 749 by Division Method

To find the primefactors of 749 using the division method, follow these steps:

• Step 1. Start dividing 749 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 749, which is 7. Divide 749 by 7 to obtain the quotient (107).
  749 ÷ 7 = 107
• Step 3. Repeat step 1 with the obtained quotient (107).
  107 ÷ 107 = 1

So, the prime factorization of 749 is, 749 = 7 x 107.

Steps to find Prime Factors of 749 by Factor Tree Method

We can follow the same procedure using the factor tree of 749 as shown below:

So, the prime factorization of 749 is, 749 = 7 x 107.

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 749 are 7 x 107.

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 749 but not a prime factor of 749.

Frequently Asked Questions

• Which is the smallest prime factor of 749?

  Smallest prime factor of 749 is 7.

• Is 749 a perfect square?

  No 749 is not a perfect square.

• What is the prime factorization of 749?

  Prime factorization of 749 is 7 x 107.

• What are the factors of 749?

  Factors of 749 are 1 , 7 , 107 , 749.

• What is prime factorization of 749 in exponential form?

  Prime factorization of 749 in exponential form is 7 x 107.

• Is 749 a prime number or a composite number?

  749 is a composite number.

• Is 749 a prime number?

  false, 749 is not a prime number.

• How to find prime factorization of 749 easily?

  To find prime factorization of 749 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 749?

  The largest prime factor of 749 is 107.