Is 2104 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 2104 is composite or not first we have to find its factors.
Contents
Factors of 2104:
- If we have taken numbers from 1, 2, 3…for checking factors of 2104, we found that 2104 has factors 1, 2, 4, 8, 263, 526, 1052 and 2104. Hence, we must say that 2104 is a composite number.
- Thus, 2104 is the composite number.
- If we multiply 2104 by 1, 2, 3 then we get the multiples of 2104 which are 2104, 4208 and so on.
About the number 2104:
- 2104 has more than two factors which are 1, 2, 4, 8, 263, 526, 1052 and 2104 and hence it is the composite number.
- 2104 is the even composite number and it is not the perfect square also.
- If we divide 2104 by, 1, 2, 4, 8, 263, 526, 1052 and 2104 then we get remainder as zero. Hence, 1, 2, 4, 8, 263, 526, 1052 and 2104 are the factors of 2104.
Note:
- 2104 is not the perfect square.
- Factors of 2104: 1, 2, 4, 8, 263, 526, 1052 and 2104
- Prime factors of 2104: 2, 263
Conclusion:
- 2104 is the composite number which has factors 1, 2, 4, 8, 263, 526, 1052 and 2104
- And hence, 2104 is not the prime number.
Multiple Choice Questions:
1) 2104 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 2104 are
a) 2104
b) 2, 263
c) 1, 4, 8, 526, 1052 and 2104
d) 1, 2, 4, 8, 263, 526, 1052 and 2104
Ans: c) 1, 4, 8, 526, 1052 and 2104
3) 2104 is composite number because
a) It has factors 1, 2, 4, 8, 263, 526, 1052 and 2104
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) it has factors 1, 2, 4, 8, 263, 526, 1052 and 2104