Is 2051 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 2051 is composite or not first we have to find its factors.
Contents
Factors of 2051:
- If we have taken numbers from 1, 2, 3…for checking factors of 2051, we found that 2051 has factors 1, 7, 293 and 2051. Hence, we must say that 2051 is a composite number.
- Thus, 2051 is the composite number.
- If we multiply 2051 by 1, 2, 3 then we get the multiples of 2051 which are 2051, 4102 and so on.
2051 is a Composite number or Prime number
About the number 2051:
- 2051 has more than two factors which are 1, 7, 293 and 2051 and hence it is the composite number.
- 2051 is the odd composite number and it is not the perfect square also.
- If we divide 2051 by 1, 7, 293 and 2051 then we get remainder as zero. Hence, 1, 7, 293 and 2051 are the factors of 2051
Note:
- 2051 is not the perfect square.
- Factors of 2051: 1, 7, 293 and 2051
- Prime factors of 2051: 7, 293
Conclusion:
- 2051 is the composite number which has factors 1, 7, 293 and 2051.
- And hence, 2051 is not the prime number.
Multiple Choice Questions:
1) 2051 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 2051 are
a) 1
b) 7, 293
c) 1 and 2051
d) 1, 7, 293 and 2051
Ans: b) 7, 293
3) 2051 is the composite number because
a) It has factors 1, 7, 293 and 2051
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