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Choose the prime factorization of 112.
A) 2×2×2×7
B) 2×2×2×2×7
C) 3×3×3×7
D) 3×3×3×3×7

Answer
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Hint: Here we have to use the concept of prime factorization to evaluate the factors of 112.
Any composite number , x can be expressed in terms of its prime factors as am×bn , where a,b,m and n are natural numbers, that is:
x=am×bn .

Complete step by step answer:
So Factorizing 112 we will get:
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That is, we can write 112 as
112=2×2×2×2×7×1
That is the factors of 112 are 2 which is being multiplied with itself 4 times and 7.

Hence the correct answer for the factors of 112 is option 2).

Note: Factorization means simplifying and expressing a number as powers of its prime factors. A prime number has only 1 and itself as the factors, while a composite number has numbers other than 1 or the number itself as the factors. All even numbers except 2 are composite numbers. For example 8, now 8 has factors other than 1 and 8 itself as 2. So 8 is a composite number hand. On the other hand 13, has no other factor except 1 and 13, and hence 13 is a prime number.
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