Is 2961 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 2961 is composite or not first we have to find its factors.
Contents
Factors of 2961:
- If we have taken numbers from 1, 2, 3…for checking factors of 2961, we found that 2961 has factors 1, 3, 7, 9, 21, 47, 63, 141, 329, 423, 987 and 2961. Hence, we must say that 2961 is a composite number.
- Thus, 2961 is the composite number.
- If we multiply 2961 by 1, 2, 3 then we get the multiples of 2961 which are 2961, 5922 and so on.
2961 is a Composite number or Prime number
About the number 2961:
- 2961 has more than two factors which are 1, 3, 7, 9, 21, 47, 63, 141, 329, 423, 987 and 2961 and hence it is the composite number.
- 2961 is the odd composite number and it is not the perfect square also.
- If we divide 2961 by 1, 3, 7, 9, 21, 47, 63, 141, 329, 423, 987 and 2961 then we get remainder as zero. Hence 1, 3, 7, 9, 21, 47, 63, 141, 329, 423, 987 and 2961 are the factors of 2961
Note:
- 2961 is not the perfect square.
- Factors of 2961: 1, 3, 7, 9, 21, 47, 63, 141, 329, 423, 987 and 2961
- Prime factors of 2961: 3, 7, 47
Conclusion:
- 2961 is the composite number which has factors 1, 3, 7, 9, 21, 47, 63, 141, 329, 423, 987 and 2961.
- And hence, 2961 is not the prime number.
Multiple Choice Questions:
1) 2961 is a
a) odd number
b) Prime number
c) even number
d) Both a and c
Ans: a) odd number
2) The non-prime factors of a composite number 2961 are
a) 1
b) 3, 7, 47
c) 1, 3, 7, 9, 21, 47, 63, 141, 329, 423, 987 and 2961
d) 1, 9, 21, 63, 141, 329, 423, 987 and 2961
Ans: d) 1, 9, 21, 63, 141, 329, 423, 987 and 2961
3) 2961 is the odd composite number because
a) It has factors 1, 3, 7, 9, 21, 47, 63, 141, 329, 423, 987 and 2961
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all