Question

Assertion: The number 4cannot end with the digit zero, where n is a natural number.
Reason: The prime factorization of number4have only the prime 2.
A. Both Assertion and Reason are correct and Reason is the correct explanation for assertion
Both Assertion and Reason are correct and Reason is not the correct explanation for assertion
C. Assertion is correct but Reason is incorrect.
D. Assertion is incorrect but Reason is correct.

Answer 1

Answer:

The number 4cannot end with the digit zero, where n is a natural number.

Reason: The prime factorization of number4have only the prime 2.

A. Both Assertion and Reason are correct and Reason is the correct explanation for assertion

Both Assertion and Reason are correct and Reason is not the correct explanation for assertion

C. Assertion is correct but Reason is incorrect.

D. Assertion is incorrect but Reason is correct.

Answer 2

Assertion: The number 4cannot end with the digit zero, where n is a natural number.

• Any number that ends in 0 has to be divisible by 5.  As a result, its prime factorization must have 5 factors.

• However, we know that 4=22.  As a consequence, there really is no natural number n over which 4 n ends in 0.

Reason: The prime factorization of number 4 have only the prime 2.

• A factor would be a value which divides a large number into smaller components. Integers that divide 4 without leaving a residue are known as factors of 4. 2 is a factor of 4 because it divides 4 without leaving any residual. Surprisingly, the quotient is 2 as well.
• The number is represented as just a product among its prime factors during prime factorization. We divide 4 by its lowest prime factor, 2, to find its prime factorization, which would be 4/2 = 2.
• Because 2 is indeed a prime number, it could only be divided by two. This process continues there until the quotient is equal to 1. The prime factorization of such number 4 is as follows:

        4= 2x2.

Therefore, the answer is (A) Both Assertion and Reason are correct and Reason is the correct explanation for assertion.