Write the following integer as the product of power of its prime factors 1024.

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answer is D.

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Detailed Solution

Concept- We divide the provided number by 2 and continue to divide it by 2 if it is possible in order to determine the product of the prime factors of any number. Whether it isn't, we check to see if it is divisible by 3, but if it isn't, we try additional numbers like 5, 7, and so on until we find all of the number's potential prime factors.
1024 is the given number.
Finding the given number's prime factors as follows:

Alternatively, we may write 1024 as

Since all of the 1024 prime factors are multiples of two,
And we are aware that a number multiplied by another number with the same base power adds up.
Then we may write

from the above.
Alternately, we can write

This is the 1024 prime factor's necessary power form.
Hence, option 4 is correct.

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