Is 2052 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 2052 is composite or not first we have to find its factors.
Factors of 2052:
- If we have taken numbers from 1, 2, 3…for checking factors of 2052, we found that 2052 has factors 1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 54, 57, 76, 108, 114, 171, 228, 342, 513, 684, 1026 and 2052. Hence, we must say that 2052 is a composite number.
- Thus, 2052 is the composite number.
- If we multiply 2052 by 1, 2, 3 then we get the multiples of 2052 which are 2052, 4104 and so on.
About the number 2052:
- 2052 has more than two factors which are 1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 54, 57, 76, 108, 114, 171, 228, 342, 513, 684, 1026 and 2052 and hence it is the composite number.
- 2052 is the even composite number and it is not the perfect square also.
- If we divide 2052 by, 1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 54, 57, 76, 108, 114, 171, 228, 342, 513, 684, 1026 and 2052 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 54, 57, 76, 108, 114, 171, 228, 342, 513, 684, 1026 and 2052 are the factors of 2052.
Note:
- 2052 is not the perfect square.
- Factors of 2052: 1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 54, 57, 76, 108, 114, 171, 228, 342, 513, 684, 1026 and 2052
- Prime factors of 2052: 2, 3, 19
Conclusion:
- 2052 is the composite number which has factors 1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 54, 57, 76, 108, 114, 171, 228, 342, 513, 684, 1026 and 2052
- And hence, 2052 is not the prime number.
Multiple Choice Questions:
1) 2052 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 2052 are
a) 2052
b) 2, 3, 19
c) 1, 4, 6, 9, 12, 18, 27, 36, 38, 54, 57, 76, 108, 114, 171, 228, 342, 513, 684, 1026 and 2052
d) 1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 54, 57, 76, 108, 114, 171, 228, 342, 513, 684, 1026 and 2052
Ans: c) 1, 4, 6, 9, 12, 18, 27, 36, 38, 54, 57, 76, 108, 114, 171, 228, 342, 513, 684, 1026 and 2052
3) 2052 is composite number because
a) It has factors 1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 54, 57, 76, 108, 114, 171, 228, 342, 513, 684, 1026 and 2052
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) it has factors 1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 54, 57, 76, 108, 114, 171, 228, 342, 513, 684, 1026 and 2052