Steps to find Prime Factors of 40 by Division Method

To find the primefactors of 40 using the division method, follow these steps:

  • Step 1. Start dividing 40 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 40, which is 2. Divide 40 by 2 to obtain the quotient (20).
    40 ÷ 2 = 20
  • Step 3. Repeat step 1 with the obtained quotient (20).
    20 ÷ 2 = 10
    10 ÷ 2 = 5
    5 ÷ 5 = 1

So, the prime factorization of 40 is, 40 = 2 x 2 x 2 x 5.

Steps to find Prime Factors of 40 by Factor Tree Method

We can follow the same procedure using the factor tree of 40 as shown below:

So, the prime factorization of 40 is, 40 = 2 x 2 x 2 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 40 are 2 x 2 x 2 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 40 but not a prime factor of 40.

Frequently Asked Questions

  • Which is the smallest prime factor of 40?

    Smallest prime factor of 40 is 2.

  • Is 40 a perfect square?

    No 40 is not a perfect square.

  • What is the prime factorization of 40?

    Prime factorization of 40 is 2 x 2 x 2 x 5.

  • What is prime factorization of 40 in exponential form?

    Prime factorization of 40 in exponential form is 23 x 5.

  • Is 40 a prime number or a composite number?

    40 is a composite number.

  • Which is the largest prime factors of 40?

    The largest prime factor of 40 is 5.

  • What is the product of all prime factors of 40?

    Prime factors of 40 are 2 x 2 x 2 x 5. Therefore, their product is 40.

  • What numbers are the prime factors of 40?

    Prime factors of 40 are 2 , 2 , 2 , 5.

  • Is there any even prime factor of 40?

    Yes there is a even prime factor of 40.