Is 2516 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 2516 is composite or not first we have to find its factors.
Contents
Factors of 2516:
- If we have taken numbers from 1, 2, 3…for checking factors of 2516, we found that 2516 has factors 1, 2, 4, 17, 34, 37, 68, 74, 148, 629, 1258 and 2516. Hence, we must say that 2516 is a composite number.
- Thus, 2516 is the composite number.
- If we multiply 2516 by 1, 2, 3 then we get the multiples of 2516 which are 2516, 5032 and so on.
About the number 2516:
- 2516 has more than two factors which are 1, 2, 4, 17, 34, 37, 68, 74, 148, 629, 1258 and 2516 and hence it is the composite number.
- 2516 is the even composite number and it is not the perfect square also.
- If we divide 2516 by, 1, 2, 4, 17, 34, 37, 68, 74, 148, 629, 1258 and 2516 then we get remainder as zero. Hence, 1, 2, 4, 17, 34, 37, 68, 74, 148, 629, 1258 and 2516 are the factors of 2516.
Note:
- 2516 is not the perfect square.
- Factors of 2516: 1, 2, 4, 17, 34, 37, 68, 74, 148, 629, 1258 and 2516
- Prime factors of 2516: 2, 17, 37
Conclusion:
- 2516 is the composite number which has factors 1, 2, 4, 17, 34, 37, 68, 74, 148, 629, 1258 and 2516
- And hence, 2516 is not the prime number.
Multiple Choice Questions:
1) 2516 is a
a) Even number
b) Odd number
c) Composite number
d) Both a and c
Ans: d) both a and d
2) The prime factors of a composite number 2516 are
a) 2516
b) 2, 17, 37
c) 1, 4, 34, 68, 74, 148, 629, 1258 and 2516
d) 1, 2, 4, 17, 34, 37, 68, 74, 148, 629, 1258 and 2516
Ans: b) 2, 17, 37
3) 2516 is composite number because
a) It has factors 1, 2, 4, 17, 34, 37, 68, 74, 148, 629, 1258 and 2516
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b