Is 3516 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 3516 is composite or not first we have to find its factors.
Contents
Factors of 3516:
- If we have taken numbers from 1, 2, 3…for checking factors of 3516, we found that 3516 has factors 1, 2, 3, 4, 6, 112, 293, 586, 879, 1172, 1758 and 3516. Hence, we must say that 3516 is a composite number.
- Thus, 3516 is the composite number.
- If we multiply 3516 by 1, 2, 3 then we get the multiples of 3516 which are 3516, 7032 and so on.
About the number 3516:
- 3516 has more than two factors which are 1, 2, 3, 4, 6, 112, 293, 586, 879, 1172, 1758 and 3516 and hence it is the composite number.
- 3516 is the even composite number and it is not the perfect square also.
- If we divide 3516 by, 1, 2, 3, 4, 6, 112, 293, 586, 879, 1172, 1758 and 3516 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 112, 293, 586, 879, 1172, 1758 and 3516 are the factors of 3516.
Note:
- 3516 is not the perfect square.
- Factors of 3516: 1, 2, 3, 4, 6, 112, 293, 586, 879, 1172, 1758 and 3516
- Prime factors of 3516: 2, 3, 293
Conclusion:
- 3516 is the composite number which has factors, 1, 2, 3, 4, 6, 112, 293, 586, 879, 1172, 1758 and 3516
- And hence, 3516 is not the prime number.
Multiple Choice Questions:
1) 3516 is a
a) Prime number
b) Odd number
c) Composite number
d) Both b and c
Ans: c) composite number
2) The prime factors of a composite number 3516 are
a) 3516
b) 2, 3, 293
c) 4, 6, 112, 586, 879, 1172, 1758 and 3516
d) 1, 2, 3, 4, 6, 112, 293, 586, 879, 1172, 1758 and 3516
Ans: b) 2, 3, 293
3) 3516 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 112, 293, 586, 879, 1172, 1758 and 3516
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all