Is 54 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 54 is composite or not first we have to find its factors.
Contents
Factors of 54:
- If we have taken numbers from 1, 2, 3…for checking factors of 54, we found that 54 has factors 1, 2, 3, 6, 9, 18, 27 and 54. Hence, we must say that 54 is a composite number.
- Thus, 54 is the composite number.
- If we multiply 54 by 1, 2, 3 then we get the multiples of 54 which are 54, 108, and so on.
About the number 54:
- 54 has more than two factors which are 1, 2, 3, 6, 9, 18, 27and 54 and hence it is the composite number.
- 54 is the even composite number and it is not the perfect square also.
- If we divide 54 by 1, 2, 3, 6, 9, 18, 27 and 54 then we get remainder as zero. Hence, 1, 2, 3, 6, 9, 18, 27 and 54 are the factors of 54.
Note:
- 54 is not the perfect square.
- Factors of 54: 1, 2, 3, 6, 9, 18, 27 and 54
- Prime factors of 54: 2, 3
Conclusion:
- 54 is the composite number which has factors 1, 2, 3, 6, 9, 18, 27and 54.
- And hence, 54 is not the prime number.
Multiple Choice Questions:
1) 54 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 54 are
a) 1
b) 2, 3
c) Both a and b
d) 541
Ans: b) 2, 3
3) 1 is the not prime factor of 54 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