Is 3396 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 3396 is composite or not first we have to find its factors.
Contents
Factors of 3396:
- If we have taken numbers from 1, 2, 3…for checking factors of 3396, we found that 3396 has factors 1, 2, 3, 4, 6, 12, 283, 566, 849, 1132, 1698 and 3396. Hence, we must say that 3396 is a composite number.
- Thus, 3396 is the composite number.
- If we multiply 3396 by 1, 2, 3 then we get the multiples of 3396 which are 3396, 6792 and so on.
About the number 3396:
- 3396 has more than two factors which are 1, 2, 3, 4, 6, 12, 283, 566, 849, 1132, 1698 and 3396 and hence it is the composite number.
- 3396 is the even composite number and it is not the perfect square also.
- If we divide 3396 by, 1, 2, 3, 4, 6, 12, 283, 566, 849, 1132, 1698 and 3396 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 12, 283, 566, 849, 1132, 1698 and 3396 are the factors of 3396.
Note:
- 3396 is not the perfect square.
- Factors of 3396: 1, 2, 3, 4, 6, 12, 283, 566, 849, 1132, 1698 and 3396
- Prime factors of 3396: 2, 3, 283
Conclusion:
- 3396 is the composite number which has factors, 1, 2, 3, 4, 6, 12, 283, 566, 849, 1132, 1698 and 3396
- And hence, 3396 is not the prime number.
Multiple Choice Questions:
1) 3396 is a
a) Prime number
b) Odd number
c) Composite number
d) Both b and c
Ans: c) composite number
2) The prime factors of a composite number 3396 are
a) 3396
b) 2, 3, 283
c) 4, 6, 12, 566, 849, 1132, 1698 and 3396
d) 1, 2, 3, 4, 6, 12, 283, 566, 849, 1132, 1698 and 3396
Ans: b) 2, 3, 283
3) 3396 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 12, 283, 566, 849, 1132, 1698 and 3396
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all