Is 48 is a Composite number

 Is 48 is a composite number or not ?

  • As we already know that, the number having factors 1 and the number itself is the prime number.
  • And numbers having more than these two factors are the composite numbers.
  • To check whether the number 48 is composite or not first we have to find its factors.

 

Factors of 48:

  • If we have taken numbers from 1, 2, 3…for checking factors of 48, we found that 48 has factors 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48. Hence, we must say that 48 is a composite number.
  • Thus, 48 is the composite number.
  • If we multiply 48 by 1, 2, 3 then we get the multiples of 48 which are 48, 96, and so on.

 

About the number 48:

  • 48 has more than two factors which are 1,2, 3, 4, 6, 8, 12, 16, 24and 48 and hence it is the composite number.
  • 48 is the even composite number and it is not the perfect square also.
  • If we divide 48 by 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48 are the factors of 48.

 

Note:

  • 48 is not the perfect square.
  • Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48
  • Prime factors of 48: 2, 3

 

Conclusion:

  • 48 is the composite number which has factors 1, 2, 3, 4, 6, 8, 12, 16, 24and 48.
  • And hence, 48 is not the prime number.

 

Multiple Choice Questions:

 

1) 48 is a

a) even number

b) Prime number

c) Composite number

d) Both a and c

Ans: d) both a and c

 

2) The prime factors of a composite number 48 are

a) 1

b) 2, 3

c) Both a and b

d) 481

Ans: b) 2, 3

 

3) 1 is the not prime factor of 48 because

a) It is the prime number

b) 1 is neither prime nor composite number

c) Both a and b

d) Given statement is false

Ans: b) 1 is neither prime nor composite number

Updated: November 23, 2021 — 11:52 am

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