Prime Factors of 736

Steps to find Prime Factors of 736 by Division Method

To find the primefactors of 736 using the division method, follow these steps:

• Step 1. Start dividing 736 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 736, which is 2. Divide 736 by 2 to obtain the quotient (368).
  736 ÷ 2 = 368
• Step 3. Repeat step 1 with the obtained quotient (368).
  368 ÷ 2 = 184
  184 ÷ 2 = 92
  92 ÷ 2 = 46
  46 ÷ 2 = 23
  23 ÷ 23 = 1

So, the prime factorization of 736 is, 736 = 2 x 2 x 2 x 2 x 2 x 23.

Steps to find Prime Factors of 736 by Factor Tree Method

We can follow the same procedure using the factor tree of 736 as shown below:

So, the prime factorization of 736 is, 736 = 2 x 2 x 2 x 2 x 2 x 23.

Introduction to Prime Factors?

In mathematics, prime numbers are defined as all those natural numbers greater than 1 that has only two divisors one being number 1 and the other being the number itself. When we express any number as the products of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 736 are 2 x 2 x 2 x 2 x 2 x 23.

Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• Any number can have only 1 even prime factor and that is number 2.
• Two prime factors are always coprime to each other.
• 1 is the factor of any given number, but 1 is neither a prime number nor a composite number. So, 1 is the factor of 736 but not a prime factor of 736.

Frequently Asked Questions

• Which is the smallest prime factor of 736?

  Smallest prime factor of 736 is 2.

• Is 736 a perfect square?

  No 736 is not a perfect square.

• What is the prime factorization of 736?

  Prime factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23.

• What is prime factorization of 736 in exponential form?

  Prime factorization of 736 in exponential form is 2⁵ x 23.

• Is 736 a prime number or a composite number?

  736 is a composite number.

• Which is the largest prime factors of 736?

  The largest prime factor of 736 is 23.

• What is the product of all prime factors of 736?

  Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23. Therefore, their product is 736.

• What numbers are the prime factors of 736?

  Prime factors of 736 are 2 , 2 , 2 , 2 , 2 , 23.

• Is there any even prime factor of 736?

  Yes there is a even prime factor of 736.