Is 3060 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 3060 is composite or not first we have to find its factors.
Factors of 3060:
- If we have taken numbers from 1, 2, 3…for checking factors of 3060, we found that 3060 has factors 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 30, 34, 36, 45, 51, 60, 68, 85, 90, 102, 153, 170, 180, 204, 255, 306, 340, 510, 612, 765, 1020, 1530 and 3060. Hence, we must say that 3060 is a composite number.
- Thus, 3060 is the composite number.
- If we multiply 3060 by 1, 2, 3 then we get the multiples of 3060 which are 3060, 6120 and so on.
About the number 3060:
- 3060 has more than two factors which are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 30, 34, 36, 45, 51, 60, 68, 85, 90, 102, 153, 170, 180, 204, 255, 306, 340, 510, 612, 765, 1020, 1530 and 3060 and hence it is the composite number.
- 3060 is the even composite number and it is not the perfect square also.
- If we divide 3060 by, 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 30, 34, 36, 45, 51, 60, 68, 85, 90, 102, 153, 170, 180, 204, 255, 306, 340, 510, 612, 765, 1020, 1530 and 3060 then we get remainder as zero. Hence, 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 30, 34, 36, 45, 51, 60, 68, 85, 90, 102, 153, 170, 180, 204, 255, 306, 340, 510, 612, 765, 1020, 1530 and 3060 are the factors of 3060.
Note:
- 3060 is not the perfect square.
- Factors of 3060: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 30, 34, 36, 45, 51, 60, 68, 85, 90, 102, 153, 170, 180, 204, 255, 306, 340, 510, 612, 765, 1020, 1530 and 3060
- Prime factors of 3060: 2, 3, 5, 17
Conclusion:
- 3060 is the composite number which has factors, 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 30, 34, 36, 45, 51, 60, 68, 85, 90, 102, 153, 170, 180, 204, 255, 306, 340, 510, 612, 765, 1020, 1530 and 3060
- And hence, 3060 is not the prime number.
Multiple Choice Questions:
1) 3060 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 3060 are
a) 3060
b) 2, 3, 5, 17
c) 4, 6, 9, 10, 12, 15, 18, 20, 30, 34, 36, 45, 51, 60, 68, 85, 90, 102, 153, 170, 180, 204, 255, 306, 340, 510, 612, 765, 1020, 1530 and 3060
d) 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 30, 34, 36, 45, 51, 60, 68, 85, 90, 102, 153, 170, 180, 204, 255, 306, 340, 510, 612, 765, 1020, 1530 and 3060
Ans: c) 4, 6, 9, 10, 12, 15, 18, 20, 30, 34, 36, 45, 51, 60, 68, 85, 90, 102, 153, 170, 180, 204, 255, 306, 340, 510, 612, 765, 1020, 1530 and 3060
3) 3060 is even composite number because
a) It has factors 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 30, 34, 36, 45, 51, 60, 68, 85, 90, 102, 153, 170, 180, 204, 255, 306, 340, 510, 612, 765, 1020, 1530 and 3060
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c