Is 1788 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 1788 is composite or not first we have to find its factors.
Contents
Factors of 1788:
- If we have taken numbers from 1, 2, 3…for checking factors of 1788, we found that 1788 has factors 1, 2, 3, 4, 6, 12, 149, 298, 447, 596, 894 and 1788. Hence, we must say that 1788 is a composite number.
- Thus, 1788 is the composite number.
- If we multiply 1788 by 1, 2, 3 then we get the multiples of 1788 which are 1788, 3576 and so on.
About the number 1788:
- 1788 has more than two factors which are 1, 2, 3, 4, 6, 12, 149, 298, 447, 596, 894 and 1788 and hence it is the composite number.
- 1788 is the even composite number and it is not the perfect square also.
- If we divide 1788 by 1, 2, 3, 4, 6, 12, 149, 298, 447, 596, 894 and 1788 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 12, 149, 298, 447, 596, 894 and 1788 are the factors of 1788.
Note:
- 1788 is not the perfect square.
- Factors of 1788: 1, 2, 3, 4, 6, 12, 149, 298, 447, 596, 894 and 1788
- Prime factors of 1788: 2, 3, 149
Conclusion:
- 1788 is the composite number which has factors 1, 2, 3, 4, 6, 12, 149, 298, 447, 596, 894 and 1788
- And hence, 1788 is not the prime number.
Multiple Choice Questions:
1) 1788 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 1788 are
a) 1788
b) 2, 3, 149
c) 1, 4, 6, 12, 298, 447, 596, 894 and 1788
d) 1, 2, 3, 4, 6, 12, 149, 298, 447, 596, 894 and 1788
Ans: c) 1, 4, 6, 12, 298, 447, 596, 894 and 1788
3) 1788 is composite number because
a) It has factors 1, 2, 3, 4, 6, 12, 149, 298, 447, 596, 894 and 1788
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, 149, 298, 447, 596, 894 and 1788