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Q.

Express the following number as a product of its prime factor: 7429


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a

Question Image

b

Question Image

c

Question Image

d

Question Image 

answer is B.

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Detailed Solution

Concept- By applying the test of divisibility, we will first attempt to identify the number 7429's initial factor. We will factorise it once more using a similar process to that used to obtain the obtained factors until we obtain prime factorization.
Let's first understand the concept of factors.
Now, consider any two integers, such 2 and 3.
As we know that,Question ImageSo, 2 and 3 are the factors of 6.
Prime factors nowadays are those that include prime numbers. Therefore, the prime factors of 6 are 2 and 3.
Now, we will express a number as a product of prime factors by multiplying prime numbers together.
Since 2 and 3 are now prime numbers, the prime factorization of 6 isQuestion Image.
We will now be familiar with the idea that any number can be represented as a product of prime factors.
For example, if we have 8, we will write it asQuestion Image.
Let's have a look at the given number, 7429.
Now, 17 is the first number that divides 7429.
As a result, we getQuestion Image.
17 is a prime number right now.
So, consider the number 437.
19 is the first number that divides 437.
Thus, we obtainQuestion Image.
Here, the prime numbers 19 and 23 exist.
This leads us to the conclusion thatQuestion Image.
Finally, we getQuestion Image.
Hence, the correct answer is an option (2).
 
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