Is 2871 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 2871 is composite or not first we have to find its factors.
Factors of 2871:
- If we have taken numbers from 1, 2, 3…for checking factors of 2871, we found that 2871 has factors 1, 3, 9, 11, 29, 33, 87, 99, 261, 319, 957 and 2871. Hence, we must say that 2871 is a composite number.
- Thus, 2871 is the composite number.
- If we multiply 2871 by 1, 2, 3 then we get the multiples of 2871 which are 2871, 5742 and so on.
2871 is a Composite number or Prime number
About the number 2871:
- 2871 has more than two factors which are 1, 3, 9, 11, 29, 33, 87, 99, 261, 319, 957 and 2871 and hence it is the composite number.
- 2871 is the odd composite number and it is not the perfect square also.
- If we divide 2871 by 1, 3, 9, 11, 29, 33, 87, 99, 261, 319, 957 and 2871 then we get remainder as zero. Hence 1, 3, 9, 11, 29, 33, 87, 99, 261, 319, 957 and 2871 are the factors of 2871
Note:
- 2871 is not the perfect square.
- Factors of 2871: 1, 3, 9, 11, 29, 33, 87, 99, 261, 319, 957 and 2871
- Prime factors of 2871: 3, 11, 29
Conclusion:
- 2871 is the composite number which has factors 1, 3, 9, 11, 29, 33, 87, 99, 261, 319, 957 and 2871.
- And hence, 2871 is not the prime number.
Multiple Choice Questions:
1) 2871 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 2871 are
a) 1
b) 3, 11, 29
c) 1, 3, 9, 11, 29, 33, 87, 99, 261, 319, 957 and 2871
d) 1, 9, 33, 87, 99, 261, 319, 957 and 2871
Ans: d) 1, 9, 33, 87, 99, 261, 319, 957 and 2871
3) 2871 is the odd composite number because
a) It has factors 1, 3, 9, 11, 29, 33, 87, 99, 261, 319, 957 and 2871
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all
