Is 2156 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 2156 is composite or not first we have to find its factors.
Contents
Factors of 2156:
- If we have taken numbers from 1, 2, 3…for checking factors of 2156, we found that 2156 has factors 1, 2, 4, 7, 11, 14, 22, 28, 44, 49, 77, 98, 154, 196, 308, 539, 1078 and 2156. Hence, we must say that 2156 is a composite number.
- Thus, 2156 is the composite number.
- If we multiply 2156 by 1, 2, 3 then we get the multiples of 2156 which are 2156, 4312 and so on.
About the number 2156:
- 2156 has more than two factors which are 1, 2, 4, 7, 11, 14, 22, 28, 44, 49, 77, 98, 154, 196, 308, 539, 1078 and 2156 and hence it is the composite number.
- 2156 is the even composite number and it is not the perfect square also.
- If we divide 2156 by, 1, 2, 4, 7, 11, 14, 22, 28, 44, 49, 77, 98, 154, 196, 308, 539, 1078 and 2156 then we get remainder as zero. Hence, 1, 2, 4, 7, 11, 14, 22, 28, 44, 49, 77, 98, 154, 196, 308, 539, 1078 and 2156 are the factors of 2156.
Note:
- 2156 is not the perfect square.
- Factors of 2156: 1, 2, 4, 7, 11, 14, 22, 28, 44, 49, 77, 98, 154, 196, 308, 539, 1078 and 2156
- Prime factors of 2156: 2, 7, 11
Conclusion:
- 2156 is the composite number which has factors 1, 2, 4, 7, 11, 14, 22, 28, 44, 49, 77, 98, 154, 196, 308, 539, 1078 and 2156
- And hence, 2156 is not the prime number.
Multiple Choice Questions:
1) 2156 is a
a) Prime number
b) Odd number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The non-prime factors of a composite number 2156 are
a) 2156
b) 2, 7, 11
c) 1, 4, 14, 22, 28, 44, 49, 77, 98, 154, 196, 308, 539, 1078 and 2156
d) 1, 2, 4, 7, 11, 14, 22, 28, 44, 49, 77, 98, 154, 196, 308, 539, 1078 and 2156
Ans: c) 1, 4, 14, 22, 28, 44, 49, 77, 98, 154, 196, 308, 539, 1078 and 2156
3) 2156 is composite number because
a) It has factors 1, 2, 4, 7, 11, 14, 22, 28, 44, 49, 77, 98, 154, 196, 308, 539, 1078 and 2156
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) it has factors 1, 2, 4, 7, 11, 14, 22, 28, 44, 49, 77, 98, 154, 196, 308, 539, 1078 and 2156