Is 3090 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 3090 is composite or not first we have to find its factors.
Contents
Factors of 3090:
- If we have taken numbers from 1, 2, 3…for checking factors of 3090, we found that 3090 has factors 1, 2, 3, 5, 6, 10, 15, 30, 103, 206, 309, 515, 618, 1030, 1545 and 3090. Hence, we must say that 3090 is a composite number.
- Thus, 3090 is the composite number.
- If we multiply 3090 by 1, 2, 3 then we get the multiples of 3090 which are 3090, 6180 and so on.
About the number 3090:
- 3090 has more than two factors which are 1, 2, 3, 5, 6, 10, 15, 30, 103, 206, 309, 515, 618, 1030, 1545 and 3090 and hence it is the composite number.
- 3090 is the even composite number and it is not the perfect square also.
- If we divide 3090 by, 1, 2, 3, 5, 6, 10, 15, 30, 103, 206, 309, 515, 618, 1030, 1545 and 3090 then we get remainder as zero. Hence, 1, 2, 3, 5, 6, 10, 15, 30, 103, 206, 309, 515, 618, 1030, 1545 and 3090 are the factors of 3090.
Note:
- 3090 is not the perfect square.
- Factors of 3090: 1, 2, 3, 5, 6, 10, 15, 30, 103, 206, 309, 515, 618, 1030, 1545 and 3090
- Prime factors of 3090: 2, 3, 5, 103
Conclusion:
- 3090 is the composite number which has factors, 1, 2, 3, 5, 6, 10, 15, 30, 103, 206, 309, 515, 618, 1030, 1545 and 3090
- And hence, 3090 is not the prime number.
Multiple Choice Questions:
1) 3090 is a
a) Prime number
b) Odd number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The composite factors of a composite number 3090 are
a) 3090
b) 2, 3, 5, 103
c) 6, 10, 15, 30, 206, 309, 515, 618, 1030, 1545 and 3090
d) 1, 2, 3, 5, 6, 10, 15, 30, 103, 206, 309, 515, 618, 1030, 1545 and 3090
Ans: c) 6, 10, 15, 30, 206, 309, 515, 618, 1030, 1545 and 3090
3) 3090 is even composite number because
a) It has factors 1, 2, 3, 5, 6, 10, 15, 30, 103, 206, 309, 515, 618, 1030, 1545 and 3090
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c