Is 1884 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 1884 is composite or not first we have to find its factors.
Contents
Factors of 1884:
- If we have taken numbers from 1, 2, 3…for checking factors of 1884, we found that 1884 has factors 1, 2, 3, 4, 6, 12, 157, 314, 471, 628, 942 and 1884. Hence, we must say that 1884 is a composite number.
- Thus, 1884 is the composite number.
- If we multiply 1884 by 1, 2, 3 then we get the multiples of 1884 which are 1884, 3768 and so on.
About the number 1884:
- 1884 has more than two factors which are 1, 2, 3, 4, 6, 12, 157, 314, 471, 628, 942 and 1884 and hence it is the composite number.
- 1884 is the even composite number and it is not the perfect square also.
- If we divide 1884 by, 1, 2, 3, 4, 6, 12, 157, 314, 471, 628, 942 and 1884 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 12, 157, 314, 471, 628, 942 and 1884 are the factors of 1884.
Note:
- 1884 is not the perfect square.
- Factors of 1884: 1, 2, 3, 4, 6, 12, 157, 314, 471, 628, 942 and 1884
- Prime factors of 1884: 2, 3, 157
Conclusion:
- 1884 is the composite number which has factors 1, 2, 3, 4, 6, 12, 157, 314, 471, 628, 942 and 1884
- And hence, 1884 is not the prime number.
Multiple Choice Questions:
1) 1884 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 1884 are
a) 1884
b) 2, 3, 157
c) 1, 4, 6, 12, 314, 471, 628, 942 and 1884
d) 1, 2, 3, 4, 6, 12, 157, 314, 471, 628, 942 and 1884
Ans: c) 1, 4, 6, 12, 314, 471, 628, 942 and 1884
3) 1884 is composite number because
a) It has factors 1, 2, 3, 4, 6, 12, 157, 314, 471, 628, 942 and 1884
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, 12, 157, 314, 471, 628, 942 and 1884