Is 2106 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 2106 is composite or not first we have to find its factors.
Factors of 2106:
- If we have taken numbers from 1, 2, 3…for checking factors of 2106, we found that 2106 has factors 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 351, 702, 1053 and 2106. Hence, we must say that 2106 is a composite number.
- Thus, 2106 is the composite number.
- If we multiply 2106 by 1, 2, 3 then we get the multiples of 2106 which are 2106, 4212 and so on.
About the number 2106:
- 2106 has more than two factors which are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 351, 702, 1053 and 2106 and hence it is the composite number.
- 2106 is the even composite number and it is not the perfect square also.
- If we divide 2106 by, 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 351, 702, 1053 and 2106 then we get remainder as zero. Hence, 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 351, 702, 1053 and 2106 are the factors of 2106.
Note:
- 2106 is not the perfect square.
- Factors of 2106: 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 351, 702, 1053 and 2106
- Prime factors of 2106: 2, 3, 13
Conclusion:
- 2106 is the composite number which has factors 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 351, 702, 1053 and 2106
- And hence, 2106 is not the prime number.
Multiple Choice Questions:
1) 2106 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 2106 are
a) 2106
b) 2, 3, 13
c) 1, 6, 9, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 351, 702, 1053 and 2106
d) 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 351, 702, 1053 and 2106
Ans: c) 1, 6, 9, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 351, 702, 1053 and 2106
3) 2106 is composite number because
a) It has factors 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 351, 702, 1053 and 2106
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) it has factors 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 351, 702, 1053 and 2106