Prime Factors of 60

Steps to find Prime Factors of 60 by Division Method

To find the primefactors of 60 using the division method, follow these steps:

• Step 1. Start dividing 60 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 60, which is 2. Divide 60 by 2 to obtain the quotient (30).
  60 ÷ 2 = 30
• Step 3. Repeat step 1 with the obtained quotient (30).
  30 ÷ 2 = 15
  15 ÷ 3 = 5
  5 ÷ 5 = 1

So, the prime factorization of 60 is, 60 = 2 x 2 x 3 x 5.

Steps to find Prime Factors of 60 by Factor Tree Method

We can follow the same procedure using the factor tree of 60 as shown below:

So, the prime factorization of 60 is, 60 = 2 x 2 x 3 x 5.

Definition of Prime Factors?

In mathematics, prime numbers are defined as all those whole numbers greater than 1 that have only two factors, i.e. 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 60 are 2 x 2 x 3 x 5.

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 60 but not a prime factor of 60.

Frequently Asked Questions

• Which is the smallest prime factor of 60?

  Smallest prime factor of 60 is 2.

• What is the prime factorization of 60?

  Prime factorization of 60 is 2 x 2 x 3 x 5.

• What are the factors of 60?

  Factors of 60 are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 20 , 30 , 60.

• Is 60 a prime number or a composite number?

  60 is a composite number.

• Is 60 a prime number?

  false, 60 is not a prime number.

• Which is the largest prime factors of 60?

  The largest prime factor of 60 is 5.

• What is the sum of all prime factors of 60?

  Prime factors of 60 are 2 x 2 x 3 x 5. Therefore, their sum is 12.

• What numbers are the prime factors of 60?

  Prime factors of 60 are 2 , 2 , 3 , 5.

• What is the sum of all odd prime factors of 60?

  Prime factors of 60 are 2 , 2 , 3 , 5, out of which 3 , 5 are odd numbers. So, the sum of odd prime factors of 60 is 3 + 5 = 8.