Is 2982 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 2982 is composite or not first we have to find its factors.
Factors of 2982:
- If we have taken numbers from 1, 2, 3…for checking factors of 2982, we found that 2982 has factors 1, 2, 3, 6, 7, 14, 21, 42, 71, 142, 213, 426, 497, 994, 1491 and 2982. Hence, we must say that 2982 is a composite number.
- Thus, 2982 is the composite number.
- If we multiply 2982 by 1, 2, 3 then we get the multiples of 2982 which are 2982, 5964 and so on.
About the number 2982:
- 2982 has more than two factors which are 1, 2, 3, 6, 7, 14, 21, 42, 71, 142, 213, 426, 497, 994, 1491 and 2982 and hence it is the composite number.
- 2982 is the even composite number and it is not the perfect square also.
- If we divide 2982 by, 1, 2, 3, 6, 7, 14, 21, 42, 71, 142, 213, 426, 497, 994, 1491 and 2982 then we get remainder as zero. Hence, 1, 2, 3, 6, 7, 14, 21, 42, 71, 142, 213, 426, 497, 994, 1491 and 2982 are the factors of 2982.
Note:
- 2982 is not the perfect square.
- Factors of 2982: 1, 2, 3, 6, 7, 14, 21, 42, 71, 142, 213, 426, 497, 994, 1491 and 2982
- Prime factors of 2982: 2, 3, 7, 71
Conclusion:
- 2982 is the composite number which has factors, 1, 2, 3, 6, 7, 14, 21, 42, 71, 142, 213, 426, 497, 994, 1491 and 2982
- And hence, 2982 is not the prime number.
Multiple Choice Questions:
1) 2982 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 2982 are
a) 2982
b) 2, 3, 7, 71
c) 6, 14, 21, 42, 142, 213, 426, 497, 994, 1491 and 2982
d) 1, 2, 3, 6, 7, 14, 21, 42, 71, 142, 213, 426, 497, 994, 1491 and 2982
Ans: c) 6, 14, 21, 42, 142, 213, 426, 497, 994, 1491 and 2982
3) 2982 is even composite number because
a) It has factors 1, 2, 3, 6, 7, 14, 21, 42, 71, 142, 213, 426, 497, 994, 1491 and 2982
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c
