Is 2616 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 2616 is composite or not first we have to find its factors.
Contents
Factors of 2616:
- If we have taken numbers from 1, 2, 3…for checking factors of 2616, we found that 2616 has factors 1, 2, 3, 4, 6, 8, 12, 24, 109, 218, 327, 436, 654, 872, 1308 and 2616. Hence, we must say that 2616 is a composite number.
- Thus, 2616 is the composite number.
- If we multiply 2616 by 1, 2, 3 then we get the multiples of 2616 which are 2616, 5232 and so on.
About the number 2616:
- 2616 has more than two factors which are 1, 2, 3, 4, 6, 8, 12, 24, 109, 218, 327, 436, 654, 872, 1308 and 2616 and hence it is the composite number.
- 2616 is the even composite number and it is not the perfect square also.
- If we divide 2616 by, 1, 2, 3, 4, 6, 8, 12, 24, 109, 218, 327, 436, 654, 872, 1308 and 2616 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 12, 24, 109, 218, 327, 436, 654, 872, 1308 and 2616 are the factors of 2616.
Note:
- 2616 is not the perfect square.
- Factors of 2616: 1, 2, 3, 4, 6, 8, 12, 24, 109, 218, 327, 436, 654, 872, 1308 and 2616
- Prime factors of 2616: 2, 3, 109
Conclusion:
- 2616 is the composite number which has factors, 1, 2, 3, 4, 6, 8, 12, 24, 109, 218, 327, 436, 654, 872, 1308 and 2616
- And hence, 2616 is not the prime number.
Multiple Choice Questions:
1) 2616 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 2616 are
a) 2616
b) 2, 3, 109
c) 4, 6, 8, 12, 24, 218, 327, 436, 654, 872, 1308 and 2616
d) 1, 2, 3, 4, 6, 8, 12, 24, 109, 218, 327, 436, 654, 872, 1308 and 2616
Ans: c) 4, 6, 8, 12, 24, 218, 327, 436, 654, 872, 1308 and 2616
3) 2616 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 12, 24, 109, 218, 327, 436, 654, 872, 1308 and 2616
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c