Is 3288 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 3288 is composite or not first we have to find its factors.
Contents
Factors of 3288:
- If we have taken numbers from 1, 2, 3…for checking factors of 3288, we found that 3288 has factors 1, 2, 3, 4, 6, 8, 12, 24, 137, 274, 411, 548, 822, 1096, 1644 and 3288. Hence, we must say that 3288 is a composite number.
- Thus, 3288 is the composite number.
- If we multiply 3288 by 1, 2, 3 then we get the multiples of 3288 which are 3288, 6576 and so on.
About the number 3288:
- 3288 has more than two factors which are 1, 2, 3, 4, 6, 8, 12, 24, 137, 274, 411, 548, 822, 1096, 1644 and 3288 and hence it is the composite number.
- 3288 is the even composite number and it is not the perfect square also.
- If we divide 3288 by, 1, 2, 3, 4, 6, 8, 12, 24, 137, 274, 411, 548, 822, 1096, 1644 and 3288 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 12, 24, 137, 274, 411, 548, 822, 1096, 1644 and 3288 are the factors of 3288.
Note:
- 3288 is not the perfect square.
- Factors of 3288: 1, 2, 3, 4, 6, 8, 12, 24, 137, 274, 411, 548, 822, 1096, 1644 and 3288
- Prime factors of 3288: 2, 3, 137
Conclusion:
- 3288 is the composite number which has factors, 1, 2, 3, 4, 6, 8, 12, 24, 137, 274, 411, 548, 822, 1096, 1644 and 3288
- And hence, 3288 is not the prime number.
Multiple Choice Questions:
1) 3288 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 3288 are
a) 3288
b) 2, 3, 137
c) 4, 6, 8, 12, 24, 274, 411, 548, 822, 1096, 1644 and 3288
d) 1, 2, 3, 4, 6, 8, 12, 24, 137, 274, 411, 548, 822, 1096, 1644 and 3288
Ans: b) 2, 3, 137
3) 3288 is composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 12, 24, 137, 274, 411, 548, 822, 1096, 1644 and 3288
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) It has factors 1, 2, 3, 4, 6, 8, 12, 24, 137, 274, 411, 548, 822, 1096, 1644 and 3288