Is 2764 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 2764 is composite or not first we have to find its factors.
Contents
Factors of 2764:
- If we have taken numbers from 1, 2, 3…for checking factors of 2764, we found that 2764 has factors 1, 2, 4, 691, 1382 and 2764. Hence, we must say that 2764 is a composite number.
- Thus, 2764 is the composite number.
- If we multiply 2764 by 1, 2, 3 then we get the multiples of 2764 which are 2764, 5528 and so on.
About the number 2764:
- 2764 has more than two factors which are 1, 2, 4, 691, 1382 and 2764 and hence it is the composite number.
- 2764 is the even composite number and it is not the perfect square also.
- If we divide 2764 by, 1, 2, 4, 691, 1382 and 2764 then we get remainder as zero. Hence, 1, 2, 4, 691, 1382 and 2764 are the factors of 2764.
Note:
- 2764 is not the perfect square.
- Factors of 2764: 1, 2, 4, 691, 1382 and 2764
- Prime factors of 2764: 2, 691
Conclusion:
- 2764 is the composite number which has factors, 1, 2, 4, 691, 1382 and 2764
- And hence, 2764 is not the prime number.
Multiple Choice Questions:
1) 2764 is a
a) Prime number
b) Odd number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The composite factors of a composite number 2764 are
a) 2764
b) 2, 691
c) 4, 691, 1382 and 2764
d) 1, 2, 4, 691, 1382 and 2764
Ans: c) 4, 691, 1382 and 2764
3) 2764 is even composite number because
a) It has factors 1, 2, 4, 691, 1382 and 2764
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c