Is 2988 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 2988 is composite or not first we have to find its factors.
Contents
Factors of 2988:
- If we have taken numbers from 1, 2, 3…for checking factors of 2988, we found that 2988 has factors 1, 2, 3, 4, 6, 9, 12, 18, 36, 83, 166, 249, 332, 498, 747, 996, 1494 and 2988. Hence, we must say that 2988 is a composite number.
- Thus, 2988 is the composite number.
- If we multiply 2988 by 1, 2, 3 then we get the multiples of 2988 which are 2988, 5976 and so on.
About the number 2988:
- 2988 has more than two factors which are 1, 2, 3, 4, 6, 9, 12, 18, 36, 83, 166, 249, 332, 498, 747, 996, 1494 and 2988 and hence it is the composite number.
- 2988 is the even composite number and it is not the perfect square also.
- If we divide 2988 by, 1, 2, 3, 4, 6, 9, 12, 18, 36, 83, 166, 249, 332, 498, 747, 996, 1494 and 2988 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 9, 12, 18, 36, 83, 166, 249, 332, 498, 747, 996, 1494 and 2988 are the factors of 2988.
Note:
- 2988 is not the perfect square.
- Factors of 2988: 1, 2, 3, 4, 6, 9, 12, 18, 36, 83, 166, 249, 332, 498, 747, 996, 1494 and 2988
- Prime factors of 2988: 2, 3, 83
Conclusion:
- 2988 is the composite number which has factors, 1, 2, 3, 4, 6, 9, 12, 18, 36, 83, 166, 249, 332, 498, 747, 996, 1494 and 2988
- And hence, 2988 is not the prime number.
Multiple Choice Questions:
1) 2988 is a
a) Prime number
b) Odd number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The composite factors of a composite number 2988 are
a) 2988
b) 2, 3, 83
c) 4, 6, 9, 12, 18, 36, 166, 249, 332, 498, 747, 996, 1494 and 2988
d) 1, 2, 3, 4, 6, 9, 12, 18, 36, 83, 166, 249, 332, 498, 747, 996, 1494 and 2988
Ans: c) 4, 6, 9, 12, 18, 36, 166, 249, 332, 498, 747, 996, 1494 and 2988
3) 2988 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 9, 12, 18, 36, 83, 166, 249, 332, 498, 747, 996, 1494 and 2988
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c