Is 2768 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 2768 is composite or not first we have to find its factors.
Contents
Factors of 2768:
- If we have taken numbers from 1, 2, 3…for checking factors of 2768, we found that 2768 has factors 1, 2, 4, 8, 16, 173, 346, 692, 1384 and 2768. Hence, we must say that 2768 is a composite number.
- Thus, 2768 is the composite number.
- If we multiply 2768 by 1, 2, 3 then we get the multiples of 2768 which are 2768, 5536 and so on.
About the number 2768:
- 2768 has more than two factors which are 1, 2, 4, 8, 16, 173, 346, 692, 1384 and 2768 and hence it is the composite number.
- 2768 is the even composite number and it is not the perfect square also.
- If we divide 2768 by, 1, 2, 4, 8, 16, 173, 346, 692, 1384 and 2768 then we get remainder as zero. Hence, 1, 2, 4, 8, 16, 173, 346, 692, 1384 and 2768 are the factors of 2768.
Note:
- 2768 is not the perfect square.
- Factors of 2768: 1, 2, 4, 8, 16, 173, 346, 692, 1384 and 2768
- Prime factors of 2768: 2, 173
Conclusion:
- 2768 is the composite number which has factors, 1, 2, 4, 8, 16, 173, 346, 692, 1384 and 2768
- And hence, 2768 is not the prime number.
Multiple Choice Questions:
1) 2768 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 2768 are
a) 2768
b) 2, 173
c) 4, 8, 16, 346, 692, 1384 and 2768
d) 1, 2, 4, 8, 16, 173, 346, 692, 1384 and 2768
Ans: c) 4, 8, 16, 346, 692, 1384 and 2768
3) 2768 is even composite number because
a) It has factors 1, 2, 4, 8, 16, 173, 346, 692, 1384 and 2768
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c