Is 3366 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 3366 is composite or not first we have to find its factors.
Factors of 3366:
- If we have taken numbers from 1, 2, 3…for checking factors of 3366, we found that 3366 has factors 1, 2, 3, 6, 9, 11, 17, 18, 22, 33, 34, 51, 66, 99, 102, 153, 187, 198, 306, 374, 561, 1122, 1683 and 3366. Hence, we must say that 3366 is a composite number.
- Thus, 3366 is the composite number.
- If we multiply 3366 by 1, 2, 3 then we get the multiples of 3366 which are 3366, 6732 and so on.
About the number 3366:
- 3366 has more than two factors which are 1, 2, 3, 6, 9, 11, 17, 18, 22, 33, 34, 51, 66, 99, 102, 153, 187, 198, 306, 374, 561, 1122, 1683 and 3366 and hence it is the composite number.
- 3366 is the even composite number and it is not the perfect square also.
- If we divide 3366 by, 1, 2, 3, 6, 9, 11, 17, 18, 22, 33, 34, 51, 66, 99, 102, 153, 187, 198, 306, 374, 561, 1122, 1683 and 3366 then we get remainder as zero. Hence, 1, 2, 3, 6, 9, 11, 17, 18, 22, 33, 34, 51, 66, 99, 102, 153, 187, 198, 306, 374, 561, 1122, 1683 and 3366 are the factors of 3366.
Note:
- 3366 is not the perfect square.
- Factors of 3366: 1, 2, 3, 6, 9, 11, 17, 18, 22, 33, 34, 51, 66, 99, 102, 153, 187, 198, 306, 374, 561, 1122, 1683 and 3366
- Prime factors of 3366: 2, 3, 11, 17
Conclusion:
- 3366 is the composite number which has factors, 1, 2, 3, 6, 9, 11, 17, 18, 22, 33, 34, 51, 66, 99, 102, 153, 187, 198, 306, 374, 561, 1122, 1683 and 3366
- And hence, 3366 is not the prime number.
Multiple Choice Questions:
1) 3366 is a
a) Prime number
b) Even number
c) Composite number
d) Both b and c
Ans: d) both b and c
2) The prime factors of a composite number 3366 are
a) 3366
b) 2, 3, 11, 17
c) 6, 9, 18, 22, 33, 34, 51, 66, 99, 102, 153, 187, 198, 306, 374, 561, 1122, 1683 and 3366
d) 1, 2, 3, 6, 9, 11, 17, 18, 22, 33, 34, 51, 66, 99, 102, 153, 187, 198, 306, 374, 561, 1122, 1683 and 3366
Ans: b) 2, 3, 11, 17
3) 3366 is composite number because
a) It has factors 1, 2, 3, 6, 9, 11, 17, 18, 22, 33, 34, 51, 66, 99, 102, 153, 187, 198, 306, 374, 561, 1122, 1683 and 3366
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) It has factors 1, 2, 3, 6, 9, 11, 17, 18, 22, 33, 34, 51, 66, 99, 102, 153, 187, 198, 306, 374, 561, 1122, 1683 and 3366