Is 1881 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 1881 is composite or not first we have to find its factors.
Contents
Factors of 1881:
- If we have taken numbers from 1, 2, 3…for checking factors of 1881, we found that 1881 has factors 1, 3, 9, 11, 19, 33, 57, 99, 171, 209, 627 and 1881. Hence, we must say that 1881 is a composite number.
- Thus, 1881 is the composite number.
- If we multiply 1881 by 1, 2, 3 then we get the multiples of 1881 which are 1881, 3762 and so on.
1881 is a Composite number or Prime number
About the number 1881:
- 1881 has more than two factors which are 1, 3, 9, 11, 19, 33, 57, 99, 171, 209, 627 and 1881 and hence it is the composite number.
- 1881 is the odd composite number and it is not the perfect square also.
- If we divide 1881 by 1, 3, 9, 11, 19, 33, 57, 99, 171, 209, 627 and 1881 then we get remainder as zero. Hence, 1, 3, 9, 11, 19, 33, 57, 99, 171, 209, 627 and 1881 are the factors of 1881
Note:
- 1881 is not the perfect square.
- Factors of 1881: 1, 3, 9, 11, 19, 33, 57, 99, 171, 209, 627 and 1881
- Prime factors of 1881: 3, 11, 19
Conclusion:
- 1881 is the composite number which has factors 1, 3, 9, 11, 19, 33, 57, 99, 171, 209, 627 and 1881.
- And hence, 1881 is not the prime number.
Multiple Choice Questions:
1) 1881 is a
a) Even number
b) Prime number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The non-prime factors of a composite number 1881 are
a) 1
b) 3, 11, 19
c) 1, 9, 33, 57, 99, 171, 209, 627 and 1881
d) 1, 3, 9, 11, 19, 33, 57, 99, 171, 209, 627 and 1881
Ans: b) 1, 9, 33, 57, 99, 171, 209, 627 and 1881
3) 1881 is the odd composite number because
a) It has factors 1, 3, 9, 11, 19, 33, 57, 99, 171, 209, 627 and 1881
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all