Write down the factors of the following number: 44

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1, 2, 4, 11, 22, 44, 56

1, 2, 4, 11, 22

1, 2, 4, 11, 22, 44

1, 2, 4, 22, 44

answer is C.

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Detailed Solution

Concept- We begin by writing the given number as a multiplication of two numbers, one of which will be a prime number. The remaining number is then written as a multiplication of two numbers, one of which is a prime number. We then repeat this process until we get the given number as the sum of all prime numbers. We then multiply the various prime number combinations to find the required factors.
Let us first prime factorise the given number before determining the factors that can divide it.

.
Substitute (2) in (1),

.
It is known that the numbers 2 and 11 are prime numbers, so we can't factorise further.
Now, we find the factors by multiplying the numbers obtained in prime factorization.
It is known that every positive number has factors 1 and itself.
We have 2 and 11 as one of the factors.
Now, we multiply them to get the remaining factors.
Thus, the factors will be

.
Therefore, the factors of 44 are 1, 2, 4, 11, 22, 44.
Hence, the correct answer is option 3) 1, 2, 4, 11, 22, 44.

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