Is 2331 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 2331 is composite or not first we have to find its factors.
Contents
Factors of 2331:
- If we have taken numbers from 1, 2, 3…for checking factors of 2331, we found that 2331 has factors 1, 3, 7, 9, 21, 37, 63, 111, 259, 333, 777 and 2331. Hence, we must say that 2331 is a composite number.
- Thus, 2331 is the composite number.
- If we multiply 2331 by 1, 2, 3 then we get the multiples of 2331 which are 2331, 4662 and so on.
2331 is a Composite number or Prime number
About the number 2331:
- 2331 has more than two factors which are 1, 3, 7, 9, 21, 37, 63, 111, 259, 333, 777 and 2331 and hence it is the composite number.
- 2331 is the odd composite number and it is not the perfect square also.
- If we divide 2331 by 1, 3, 7, 9, 21, 37, 63, 111, 259, 333, 777 and 2331 then we get remainder as zero. Hence, 1, 3, 7, 9, 21, 37, 63, 111, 259, 333, 777 and 2331 are the factors of 2331
Note:
- 2331 is not the perfect square.
- Factors of 2331: 1, 3, 7, 9, 21, 37, 63, 111, 259, 333, 777 and 2331
- Prime factors of 2331: 3, 7, 37
Conclusion:
- 2331 is the composite number which has factors 1, 3, 7, 9, 21, 37, 63, 111, 259, 333, 777 and 2331.
- And hence, 2331 is not the prime number.
Multiple Choice Questions:
1) 2331 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 2331 are
a) 1
b) 3, 7, 37
c) 1 and 2331
d) 1, 3, 7, 9, 21, 37, 63, 111, 259, 333, 777 and 2331
Ans: b) 3, 7, 37
3) 2331 is the composite number because
a) It has factors 1, 3, 7, 9, 21, 37, 63, 111, 259, 333, 777 and 2331
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