Is 2751 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 2751 is composite or not first we have to find its factors.
Contents
Factors of 2751:
- If we have taken numbers from 1, 2, 3…for checking factors of 2751, we found that 2751 has factors 1, 3, 7, 21, 131, 393, 917 and 2751. Hence, we must say that 2751 is a composite number.
- Thus, 2751 is the composite number.
- If we multiply 2751 by 1, 2, 3 then we get the multiples of 2751 which are 2751, 5502 and so on.
2751 is a Composite number or Prime number
About the number 2751:
- 2751 has more than two factors which are 1, 3, 7, 21, 131, 393, 917 and 2751 and hence it is the composite number.
- 2751 is the odd composite number and it is not the perfect square also.
- If we divide 2751 by 1, 3, 7, 21, 131, 393, 917 and 2751 then we get remainder as zero. Hence 1, 3, 7, 21, 131, 393, 917 and 2751 are the factors of 2751
Note:
- 2751 is not the perfect square.
- Factors of 2751: 1, 3, 7, 21, 131, 393, 917 and 2751
- Prime factors of 2751: 3, 7, 131
Conclusion:
- 2751 is the composite number which has factors 1, 3, 7, 21, 131, 393, 917 and 2751.
- And hence, 2751 is not the prime number.
Multiple Choice Questions:
1) 2751 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 2751 are
a) 1
b) 3, 7, 131
c) 1, 3, 7, 21, 131, 393, 917 and 2751
d) 1, 21, 393, 917 and 2751
Ans: d) 1, 21, 393, 917 and 2751
3) 2751 is the odd composite number because
a) It has factors 1, 3, 7, 21, 131, 393, 917 and 2751
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all