Prime Factors of 732

Steps to find Prime Factors of 732 by Division Method

To find the primefactors of 732 using the division method, follow these steps:

• Step 1. Start dividing 732 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 732, which is 2. Divide 732 by 2 to obtain the quotient (366).
  732 ÷ 2 = 366
• Step 3. Repeat step 1 with the obtained quotient (366).
  366 ÷ 2 = 183
  183 ÷ 3 = 61
  61 ÷ 61 = 1

So, the prime factorization of 732 is, 732 = 2 x 2 x 3 x 61.

Steps to find Prime Factors of 732 by Factor Tree Method

We can follow the same procedure using the factor tree of 732 as shown below:

So, the prime factorization of 732 is, 732 = 2 x 2 x 3 x 61.

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 732 are 2 x 2 x 3 x 61.

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 732 but not a prime factor of 732.

Frequently Asked Questions

• Which is the smallest prime factor of 732?

  Smallest prime factor of 732 is 2.

• What is the prime factorization of 732?

  Prime factorization of 732 is 2 x 2 x 3 x 61.

• What are the factors of 732?

  Factors of 732 are 1 , 2 , 3 , 4 , 6 , 12 , 61 , 122 , 183 , 244 , 366 , 732.

• Is 732 a prime number or a composite number?

  732 is a composite number.

• Is 732 a prime number?

  false, 732 is not a prime number.

• Which is the largest prime factors of 732?

  The largest prime factor of 732 is 61.

• What is the sum of all prime factors of 732?

  Prime factors of 732 are 2 x 2 x 3 x 61. Therefore, their sum is 68.

• What numbers are the prime factors of 732?

  Prime factors of 732 are 2 , 2 , 3 , 61.

• What is the sum of all odd prime factors of 732?

  Prime factors of 732 are 2 , 2 , 3 , 61, out of which 3 , 61 are odd numbers. So, the sum of odd prime factors of 732 is 3 + 61 = 64.