Prime Factors of 742

Steps to find Prime Factors of 742 by Division Method

To find the primefactors of 742 using the division method, follow these steps:

• Step 1. Start dividing 742 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 742, which is 2. Divide 742 by 2 to obtain the quotient (371).
  742 ÷ 2 = 371
• Step 3. Repeat step 1 with the obtained quotient (371).
  371 ÷ 7 = 53
  53 ÷ 53 = 1

So, the prime factorization of 742 is, 742 = 2 x 7 x 53.

Steps to find Prime Factors of 742 by Factor Tree Method

We can follow the same procedure using the factor tree of 742 as shown below:

So, the prime factorization of 742 is, 742 = 2 x 7 x 53.

How do you define Prime Factors of a number?

Prime numbers, in mathematics are all those natural numbers greater than 1 that have exactly 2 factors which are 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 742 are 2 x 7 x 53.

Properties of Prime Factors

• Two prime factors of a given number are always coprime to each other.
• 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 742 but not a prime factor of 742.

Frequently Asked Questions

• Which is the smallest prime factor of 742?

  Smallest prime factor of 742 is 2.

• Is 742 a perfect square?

  No 742 is not a perfect square.

• What is the prime factorization of 742?

  Prime factorization of 742 is 2 x 7 x 53.

• What are the factors of 742?

  Factors of 742 are 1 , 2 , 7 , 14 , 53 , 106 , 371 , 742.

• What is the product of all prime factors of 742?

  Prime factors of 742 are 2 x 7 x 53. Therefore, their product is 742.

• What numbers are the prime factors of 742?

  Prime factors of 742 are 2 , 7 , 53.

• What is the sum of all odd prime factors of 742?

  Prime factors of 742 are 2 , 7 , 53, out of which 7 , 53 are odd numbers. So, the sum of odd prime factors of 742 is 7 + 53 = 60.

• Is there any even prime factor of 742?

  Yes there is a even prime factor of 742.

• What is the product of all odd prime factors of 742?

  Prime factors of 742 are 2 , 7 , 53, out of which 7 , 53 are odd numbers. So, the product of odd prime factors of 742 is 7 x 53 = 371.