Is 2766 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 2766 is composite or not first we have to find its factors.
Contents
Factors of 2766:
- If we have taken numbers from 1, 2, 3…for checking factors of 2766, we found that 2766 has factors 1, 2, 3, 6, 461, 922, 1383 and 2766. Hence, we must say that 2766 is a composite number.
- Thus, 2766 is the composite number.
- If we multiply 2766 by 1, 2, 3 then we get the multiples of 2766 which are 2766, 5532 and so on.
About the number 2766:
- 2766 has more than two factors which are 1, 2, 3, 6, 461, 922, 1383 and 2766 and hence it is the composite number.
- 2766 is the even composite number and it is not the perfect square also.
- If we divide 2766 by, 1, 2, 3, 6, 461, 922, 1383 and 2766 then we get remainder as zero. Hence, 1, 2, 3, 6, 461, 922, 1383 and 2766 are the factors of 2766.
Note:
- 2766 is not the perfect square.
- Factors of 2766: 1, 2, 3, 6, 461, 922, 1383 and 2766
- Prime factors of 2766: 2, 3, 461
Conclusion:
- 2766 is the composite number which has factors, 1, 2, 3, 6, 461, 922, 1383 and 2766
- And hence, 2766 is not the prime number.
Multiple Choice Questions:
1) 2766 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 2766 are
a) 2766
b) 2, 3, 461
c) 6, 922, 1383 and 2766
d) 1, 2, 3, 6, 461, 922, 1383 and 2766
Ans: c) 6, 922, 1383 and 2766
3) 2766 is even composite number because
a) It has factors 1, 2, 3, 6, 461, 922, 1383 and 2766
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c