Is 3816 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 3816 is composite or not first we have to find its factors.
Contents
Factors of 3816:
- If we have taken numbers from 1, 2, 3…for checking factors of 3816, we found that 3816 has factors 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 53, 72, 106, 159, 212, 318, 424, 477, 636, 954, 1272, 1908 and 3816. Hence, we must say that 3816 is a composite number.
- Thus, 3816 is the composite number.
- If we multiply 3816 by 1, 2, 3 then we get the multiples of 3816 which are 3816, 7632 and so on.
About the number 3816:
- 3816 has more than two factors which are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 53, 72, 106, 159, 212, 318, 424, 477, 636, 954, 1272, 1908 and 3816 and hence it is the composite number.
- 3816 is the even composite number and it is not the perfect square also.
- If we divide 3816 by, 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 53, 72, 106, 159, 212, 318, 424, 477, 636, 954, 1272, 1908 and 3816 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 53, 72, 106, 159, 212, 318, 424, 477, 636, 954, 1272, 1908 and 3816 are the factors of 3816.
Note:
- 3816 is not the perfect square.
- Factors of 3816: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 53, 72, 106, 159, 212, 318, 424, 477, 636, 954, 1272, 1908 and 3816
- Prime factors of 3816: 2, 3, 53
Conclusion:
- 3816 is the composite number which has factors, 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 53, 72, 106, 159, 212, 318, 424, 477, 636, 954, 1272, 1908 and 3816
- And hence, 3816 is not the prime number.
Multiple Choice Questions:
1) 3816 is a
a) Prime number
b) Even number
c) Composite number
d) Both b and c
Ans: d) both b and c
2) The composite factors of a composite number 3816 are
a) 3816
b) 2, 3, 53
c) 4, 6, 8, 9, 12, 18, 24, 36, 72, 106, 159, 212, 318, 424, 477, 636, 954, 1272, 1908 and 3816
d) 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 53, 72, 106, 159, 212, 318, 424, 477, 636, 954, 1272, 1908 and 3816
Ans: c) 4, 6, 8, 9, 12, 18, 24, 36, 53, 72, 106, 159, 212, 318, 424, 477, 636, 954, 1272, 1908 and 3816
3) 3816 is composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 53, 72, 106, 159, 212, 318, 424, 477, 636, 954, 1272, 1908 and 3816
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b