Is 396 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 396 is composite or not first we have to find its factors.
Contents
Factors of 396:
- If we have taken numbers from 1, 2, 3…for checking factors of 396, we found that 396 has factors 1, 2,3, 4, 6, 9, 11, 112, 18, 22, 33, 36, 44, 66, 99, 132, 198 and 396. Hence, we must say that 396 is a composite number.
- Thus, 396 is the composite umber.
- If we multiply 396 by 1, 2, 3 then we get the multiples of 396 which are 396, 792 and so on.
About the number 396:
- 396 has more than two factors which are 1, 2, 3, 4, 6, 9, 11, 112, 18, 22, 33, 36, 44, 66, 99, 132, 198 and 396 and hence it is the composite number.
- 396 is the even composite number and it is not the perfect square also.
- If we divide 396 by 1, 2,3, 4, 6, 9, 11, 112, 18, 22, 33, 36, 44, 66, 99, 132, 198 and 396 then we get remainder as zero. Hence,1, 2, 3, 4, 6, 9, 11, 112, 18, 22, 33, 36, 44, 66, 99, 132, 198 and 396 are the factors of 396.
Note:
- 396 is not the perfect square.
- Factors of 396: 1, 2,3, 4, 6, 9, 11, 112, 18, 22, 33, 36, 44, 66, 99, 132, 198 and 396
- Prime factors of 396: 2, 3, 11
Conclusion:
- 396 is the composite number which has factors 1, 2,3, 4, 6, 9, 11, 112, 18, 22, 33, 36, 44, 66, 99, 132, 198 and 396
- And hence, 396 is not the prime number.
Multiple Choice Questions:
1) 396 is a
a) Prime number
b) Odd number
c) Composite number
d) Both b and c
Ans: c) composite number
2) The non-prime factors of a composite number 396 are
a) 2
b) 2, 3, 11
c) 1, 4, 6, 9, 112, 18, 22, 33, 36, 44, 66, 99, 132, 198 and 396
d) 1, 2, 3, 4, 6, 9, 11, 112, 18, 22, 33, 36, 44, 66, 99, 132, 198 and 396
Ans: c) 1, 4, 6, 9, 112, 18, 22, 33, 36, 44, 66, 99, 132, 198 and 396
3) 396 is the composite number because
a) It has two factors
b) More than two factors
c) Divisible by 2
d) Both b and c
Ans: b) more than two factors