Is 2656 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 2656 is composite or not first we have to find its factors.
Contents
Factors of 2656:
- If we have taken numbers from 1, 2, 3…for checking factors of 2656, we found that 2656 has factors 1, 2, 4, 8, 16, 32, 83, 166, 332, 664, 1328 and 2656. Hence, we must say that 2656 is a composite number.
- Thus, 2656 is the composite number.
- If we multiply 2656 by 1, 2, 3 then we get the multiples of 2656 which are 2656, 5312 and so on.
About the number 2656:
- 2656 has more than two factors which are 1, 2, 4, 8, 16, 32, 83, 166, 332, 664, 1328 and 2656 and hence it is the composite number.
- 2656 is the even composite number and it is not the perfect square also.
- If we divide 2656 by, 1, 2, 4, 8, 16, 32, 83, 166, 332, 664, 1328 and 2656 then we get remainder as zero. Hence, 1, 2, 4, 8, 16, 32, 83, 166, 332, 664, 1328 and 2656 are the factors of 2656.
Note:
- 2656 is not the perfect square.
- Factors of 2656: 1, 2, 4, 8, 16, 32, 83, 166, 332, 664, 1328 and 2656
- Prime factors of 2656: 2, 83
Conclusion:
- 2656 is the composite number which has factors, 1, 2, 4, 8, 16, 32, 83, 166, 332, 664, 1328 and 2656
- And hence, 2656 is not the prime number.
Multiple Choice Questions:
1) 2656 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 2656 are
a) 2656
b) 2, 83
c) 4, 8, 16, 32, 166, 332, 664, 1328 and 2656
d) 1, 2, 4, 8, 16, 32, 83, 166, 332, 664, 1328 and 2656
Ans: c) 4, 8, 16, 32, 166, 332, 664, 1328 and 2656
3) 2656 is even composite number because
a) It has factors 1, 2, 4, 8, 16, 32, 83, 166, 332, 664, 1328 and 2656
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c