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

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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,

So, 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 is

.
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 as

.
Let's have a look at the given number, 7429.
Now, 17 is the first number that divides 7429.
As a result, we get

.
17 is a prime number right now.
So, consider the number 437.
19 is the first number that divides 437.
Thus, we obtain

.
Here, the prime numbers 19 and 23 exist.
This leads us to the conclusion that

.
Finally, we get

.
Hence, the correct answer is an option (2).

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