Is 3264 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 3264 is composite or not first we have to find its factors.
Factors of 3264:
- If we have taken numbers from 1, 2, 3…for checking factors of 3264, we found that 3264 has factors 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 136, 192, 204, 272, 408, 544, 816, 1088, 1632 and 3264. Hence, we must say that 3264 is a composite number.
- Thus, 3264 is the composite number.
- If we multiply 3264 by 1, 2, 3 then we get the multiples of 3264 which are 3264, 6528 and so on.
About the number 3264:
- 3264 has more than two factors which are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 136, 192, 204, 272, 408, 544, 816, 1088, 1632 and 3264 and hence it is the composite number.
- 3264 is the even composite number and it is not the perfect square also.
- If we divide 3264 by, 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 136, 192, 204, 272, 408, 544, 816, 1088, 1632 and 3264 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 136, 192, 204, 272, 408, 544, 816, 1088, 1632 and 3264 are the factors of 3264.
Note:
- 3264 is not the perfect square.
- Factors of 3264: 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 136, 192, 204, 272, 408, 544, 816, 1088, 1632 and 3264
- Prime factors of 3264: 2, 3, 17
Conclusion:
- 3264 is the composite number which has factors, 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 136, 192, 204, 272, 408, 544, 816, 1088, 1632 and 3264
- And hence, 3264 is not the prime number.
Multiple Choice Questions:
1) 3264 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 3264 are
a) 3264
b) 2, 3, 17
c) 4, 6, 8, 12, 16, 24, 32, 34, 48, 51, 64, 68, 96, 102, 136, 192, 204, 272, 408, 544, 816, 1088, 1632 and 3264
d) 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 136, 192, 204, 272, 408, 544, 816, 1088, 1632 and 3264
Ans: b) 2, 3, 17
3) 3264 is composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 136, 192, 204, 272, 408, 544, 816, 1088, 1632 and 3264
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, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 136, 192, 204, 272, 408, 544, 816, 1088, 1632 and 3264