Is 3066 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 3066 is composite or not first we have to find its factors.
Contents
Factors of 3066:
- If we have taken numbers from 1, 2, 3…for checking factors of 3066, we found that 3066 has factors 1, 2, 3, 6, 7, 14, 21, 42, 73, 146, 219, 438, 511, 1022, 1553 and 3066. Hence, we must say that 3066 is a composite number.
- Thus, 3066 is the composite number.
- If we multiply 3066 by 1, 2, 3 then we get the multiples of 3066 which are 3066, 6132 and so on.
About the number 3066:
- 3066 has more than two factors which are 1, 2, 3, 6, 7, 14, 21, 42, 73, 146, 219, 438, 511, 1022, 1553 and 3066 and hence it is the composite number.
- 3066 is the even composite number and it is not the perfect square also.
- If we divide 3066 by, 1, 2, 3, 6, 7, 14, 21, 42, 73, 146, 219, 438, 511, 1022, 1553 and 3066 then we get remainder as zero. Hence, 1, 2, 3, 6, 7, 14, 21, 42, 73, 146, 219, 438, 511, 1022, 1553 and 3066 are the factors of 3066.
Note:
- 3066 is not the perfect square.
- Factors of 3066: 1, 2, 3, 6, 7, 14, 21, 42, 73, 146, 219, 438, 511, 1022, 1553 and 3066
- Prime factors of 3066: 2, 3, 7, 73
Conclusion:
- 3066 is the composite number which has factors, 1, 2, 3, 6, 7, 14, 21, 42, 73, 146, 219, 438, 511, 1022, 1553 and 3066
- And hence, 3066 is not the prime number.
Multiple Choice Questions:
1) 3066 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 3066 are
a) 3066
b) 2, 3, 7, 73
c) 6, 14, 21, 42, 146, 219, 438, 511, 1022, 1553 and 3066
d) 1, 2, 3, 6, 7, 14, 21, 42, 73, 146, 219, 438, 511, 1022, 1553 and 3066
Ans: c) 6,14, 21, 42, 146, 219, 438, 511, 1022, 1553 and 3066
3) 3066 is even composite number because
a) It has factors 1, 2, 3, 6, 7, 14, 21, 42, 73, 146, 219, 438, 511, 1022, 1553 and 3066
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c