Is 2691 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 2691 is composite or not first we have to find its factors.
Contents
Factors of 2691:
- If we have taken numbers from 1, 2, 3…for checking factors of 2691, we found that 2691 has factors 1, 3, 9, 13, 23, 39, 69, 117, 207, 299, 897 and 2691. Hence, we must say that 2691 is a composite number.
- Thus, 2691 is the composite number.
- If we multiply 2691 by 1, 2, 3 then we get the multiples of 2691 which are 2691, 5382 and so on.
2691 is a Composite number or Prime number
About the number 2691:
- 2691 has more than two factors which are 1, 3, 9, 13, 23, 39, 69, 117, 207, 299, 897 and 2691 and hence it is the composite number.
- 2691 is the odd composite number and it is not the perfect square also.
- If we divide 2691 by 1, 3, 9, 13, 23, 39, 69, 117, 207, 299, 897 and 2691 then we get remainder as zero. Hence 1, 3, 9, 13, 23, 39, 69, 117, 207, 299, 897 and 2691 are the factors of 2691
Note:
- 2691 is not the perfect square.
- Factors of 2691: 1, 3, 9, 13, 23, 39, 69, 117, 207, 299, 897 and 2691
- Prime factors of 2691: 3, 13, 23
Conclusion:
- 2691 is the composite number which has factors 1, 3, 9, 13, 23, 39, 69, 117, 207, 299, 897 and 2691.
- And hence, 2691 is not the prime number.
Multiple Choice Questions:
1) 2691 is a
a) odd 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 2691 are
a) 1
b) 3, 13, 23
c) 1 and 2691
d) 1, 3, 9, 13, 23, 39, 69, 117, 207, 299, 897 and 2691
Ans: b) 3, 13, 23
3) 2691 is the composite number because
a) It has factors 1, 3, 9, 13, 23, 39, 69, 117, 207, 299, 897 and 2691
b) It has more than two factors
c) It is not divisible by 2
d) Both a and b
Ans: d) both a and b