Is 2031 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 2031 is composite or not first we have to find its factors.
Contents
Factors of 2031:
- If we have taken numbers from 1, 2, 3…for checking factors of 2031, we found that 2031 has factors 1, 3, 677 and 2031. Hence, we must say that 2031 is a composite number.
- Thus, 2031 is the composite number.
- If we multiply 2031 by 1, 2, 3 then we get the multiples of 2031 which are 2031, 4062 and so on.
2031 is a Composite number or Prime number
About the number 2031:
- 2031 has more than two factors which are 1, 3, 677 and 2031 and hence it is the composite number.
- 2031 is the odd composite number and it is not the perfect square also.
- If we divide 2031 by 1, 3, 677 and 2031 then we get remainder as zero. Hence, 1, 3, 677 and 2031 are the factors of 2031
Note:
- 2031 is not the perfect square.
- Factors of 2031: 1, 3, 677 and 2031
- Prime factors of 2031: 3, 677
Conclusion:
- 2031 is the composite number which has factors 1, 3, 677 and 2031.
- And hence, 2031 is not the prime number.
Multiple Choice Questions:
1) 2031 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 2031 are
a) 1
b) 3, 677
c) 1 and 2031
d) 1, 3, 677 and 2031
Ans: c) 1 and 2031
3) 2031 is the odd composite number because
a) It has factors 1, 3, 677 and 2031
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all