Is 540 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 540 is composite or not first we have to find its factors.
Contents
Factors of 540:
- If we have taken numbers from 1, 2, 3…for checking factors of 540, we found that 540 has factors 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270 and 540. Hence, we must say that 540 is a composite number.
- Thus, 540 is the composite umber.
- If we multiply 540 by 1, 2, 3 then we get the multiples of 540 which are 540, 1080 and so on.
About the number 540:
- 540 has more than two factors which are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270 and 540 and hence it is the composite number.
- 540 is the even composite number and it is not the perfect square also.
- If we divide 540 by 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270 and 540 then we get remainder as zero. Hence, 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270 and 540 are the factors of 540.
Note:
- 540 is not the perfect square.
- Factors of 540: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270 and 540
- Prime factors of 540: 2, 3, 5
Conclusion:
- 540 is the composite number which has factors 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270 and 540
- And hence, 540 is not the prime number.
Multiple Choice Questions:
1) 540 is a
a) Prime number
b) Even number
c) Composite number
d) Both b and c
Ans: d) both b and c
2) The prime factors of a composite number 540 are
a) 1
b) 2, 3, 5
c) 1, 4, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270 and 540
d) 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270 and 540
Ans: b) 2, 3, 5
3) 540 is the even composite number because
a) It has two factors
b) More than two factors
c) Divisible by 2
d) Both b and c
Ans: d) both b and c