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Q.

98 can be expressed as the product of its prime factors as:


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a

Question Image

b

Question Image

c

Question Image

d

Question Image 

answer is A.

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Detailed Solution

Concept- Here, we'll use the idea of number prime factorization. The process of discovering a number's prime factors is called prime factorization.
We are aware that prime numbers in the number system are those with just two factors—1 and the number itself. The fact that they will be divisible by 1 and the number itself follows naturally from this.
The current number is 98. Starting with the smallest prime number, 2, let's determine whether it can be divided by the prime divisors.
The number 98 is an even number, as we can see. It is therefore divisible by 2.
Question ImageThe digits of the result 49 are then added together.
Thus, we obtain Question Image.
We can observe that the provided number's digit sum is not divisible by 3.
Therefore, the number cannot be divided by 3.
Now, the 49's last digit is neither a 0 nor a 5.
Therefore, the number 49 cannot be divided by 5.
Now, we determine whether the number can be divided by seven. When the remainder of the number is deducted from the unit place digit, the number should be divisible by 7 times.
Here, Question Image, which is twice the unit's place digit.
To determine if 49 is divisible by 7, we take the remaining number 4 and subtract 18.
Question ImageThe number 14 can now be divided by 7.
Therefore, the number 49 can be divided by 7.
So, when we divide 49 by 7, we get
Question ImageAs a result, when 98 is resolved into factors, the expression is Question Image.
Hence, option 1 is correct.
 
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