
Choose the prime factorization of 112.
A)
B)
C)
D)
Answer
516.3k+ views
Hint: Here we have to use the concept of prime factorization to evaluate the factors of 112.
Any composite number , can be expressed in terms of its prime factors as , where a,b,m and n are natural numbers, that is:
.
Complete step by step answer:
So Factorizing 112 we will get:
That is, we can write as
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.
Any composite number ,
Complete step by step answer:
So Factorizing 112 we will get:

That is, we can write
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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