Is 1230 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 1230 is composite or not first we have to find its factors.
Contents
Factors of 1230:
- If we have taken numbers from 1, 2, 3…for checking factors of 1230, we found that 1230 has factors 1, 2, 3, 5, 6, 10, 15, 30, 41, 82, 123, 205, 246, 410, 615 and 1230. Hence, we must say that 1230 is a composite number.
- Thus, 1230 is the composite number.
- If we multiply 1230 by 1, 2, 3 then we get the multiples of 1230 which are 1230, 2460 and so on.
About the number 1230:
- 1230 has more than two factors which are 1, 2, 3, 5, 6, 10, 15, 30, 41, 82, 123, 205, 246, 410, 615 and 1230 and hence it is the composite number.
- 1230 is the even composite number and it is not the perfect square also.
- If we divide 1230 by 1, 2, 3, 5, 6, 10, 15, 30, 41, 82, 123, 205, 246, 410, 615 and 1230 then we get remainder as zero. Hence, 1, 2, 3, 5, 6, 10, 15, 30, 41, 82, 123, 205, 246, 410, 615 and 1230 are the factors of 1230.
Note:
- 1230 is not the perfect square.
- Factors of 1230: 1, 2, 3, 5, 6, 10, 15, 30, 41, 82, 123, 205, 246, 410, 615 and 1230
- Prime factors of 1230: 2, 3, 5, 41
Conclusion:
- 1230 is the composite number which has factors 1, 2, 3, 5, 6, 10, 15, 30, 41, 82, 123, 205, 246, 410, 615 and 1230
- And hence, 1230 is not the prime number.
Multiple Choice Questions:
1) 1230 is a
a) Even number
b) Not a perfect square number
c) Composite number
d) all
Ans: d) all
2) The composite factors of a composite number 1230 are
a) 6, 10, 15, 30, 82, 123, 205, 246, 410, 615 and 1230
b) 2, 3, 5, 41
c) 1, 6, 10, 15, 30, 82, 123, 205, 246, 410, 615 and 1230
d) 1, 2, 3, 5, 6, 10, 15, 30, 41, 82, 123, 205, 246, 410, 615 and 1230
Ans: a) 6, 10, 15, 30, 82, 123, 205, 246, 410, 615 and 1230
3) 1230 is composite number because
a) It has factors 1, 2, 3, 5, 6, 10, 15, 30, 41, 82, 123, 205, 246, 410, 615 and 1230
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b