Is 2664 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 2664 is composite or not first we have to find its factors.
Contents
Factors of 2664:
- If we have taken numbers from 1, 2, 3…for checking factors of 2664, we found that 2664 has factors 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 37, 72, 74, 111, 148, 222, 296, 333, 444, 666, 888, 1332 and 2664. Hence, we must say that 2664 is a composite number.
- Thus, 2664 is the composite number.
- If we multiply 2664 by 1, 2, 3 then we get the multiples of 2664 which are 2664, 5328 and so on.
About the number 2664:
- 2664 has more than two factors which are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 37, 72, 74, 111, 148, 222, 296, 333, 444, 666, 888, 1332 and 2664 and hence it is the composite number.
- 2664 is the even composite number and it is not the perfect square also.
- If we divide 2664 by, 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 37, 72, 74, 111, 148, 222, 296, 333, 444, 666, 888, 1332 and 2664 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 37, 72, 74, 111, 148, 222, 296, 333, 444, 666, 888, 1332 and 2664 are the factors of 2664.
Note:
- 2664 is not the perfect square.
- Factors of 2664: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 37, 72, 74, 111, 148, 222, 296, 333, 444, 666, 888, 1332 and 2664
- Prime factors of 2664: 2, 3, 37
Conclusion:
- 2664 is the composite number which has factors, 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 37, 72, 74, 111, 148, 222, 296, 333, 444, 666, 888, 1332 and 2664
- And hence, 2664 is not the prime number.
Multiple Choice Questions:
1) 2664 is a
a) Prime number
b) Odd number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The composite factors of a composite number 2664 are
a) 2664
b) 2, 3, 37
c) 4, 6, 8, 9, 12, 18, 24, 36, 72, 74, 111, 148, 222, 296, 333, 444, 666, 888, 1332 and 2664
d) 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 37, 72, 74, 111, 148, 222, 296, 333, 444, 666, 888, 1332 and 2664
Ans: c) 4, 6, 8, 9, 12, 18, 24, 36, 72, 74, 111, 148, 222, 296, 333, 444, 666, 888, 1332 and 2664
3) 2664 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 37, 72, 74, 111, 148, 222, 296, 333, 444, 666, 888, 1332 and 2664
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c