Is 4836 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 4836 is composite or not first we have to find its factors.
Contents
Factors of 4836:
- If we have taken numbers from 1, 2, 3…for checking factors of 4836 we found that 4836 has factors 1, 2, 3, 4, 6, 12, 13, 26, 31, 39, 52, 62, 78, 93, 124, 156, 186, 372, 403, 806, 1209, 1612, 2418 and 4836. Hence, we must say that 4836 is a composite number.
- Thus, 4836 is the composite number.
- If we multiply 4836 by 1, 2, 3 then we get the multiples of 4836 which are 4836, 9672 and so on.
About the number 4836:
- 4836 has more than two factors which are 1, 2, 3, 4, 6, 12, 13, 26, 31, 39, 52, 62, 78, 93, 124, 156, 186, 372, 403, 806, 1209, 1612, 2418 and 4836 and hence it is the composite number.
- 4836 is the even composite number and it is not the perfect square also.
- If we divide 4836 by, 1, 2, 3, 4, 6, 12, 13, 26, 31, 39, 52, 62, 78, 93, 124, 156, 186, 372, 403, 806, 1209, 1612, 2418 and 4836 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 12, 13, 26, 31, 39, 52, 62, 78, 93, 124, 156, 186, 372, 403, 806, 1209, 1612, 2418 and 4836 are the factors of 4836.
Note:
- 4836 is not the perfect square.
- Factors of 4836: 1, 2, 3, 4, 6, 12, 13, 26, 31, 39, 52, 62, 78, 93, 124, 156, 186, 372, 403, 806, 1209, 1612, 2418 and 4836
- Prime factors of 4836: 2, 3, 13, 31
Conclusion:
- 4836 is the composite number which has factors, 1, 2, 3, 4, 6, 12, 13, 26, 31, 39, 52, 62, 78, 93, 124, 156, 186, 372, 403, 806, 1209, 1612, 2418 and 4836
- And hence, 4836 is not the prime number.
Multiple Choice Questions:
1) 4836 is a
a) Prime number
b) even number
c) even Composite number
d) Both a and c
Ans: c) even composite number
2) The prime factors of a composite number 4836 are
a) 4836
b) 2, 3, 13, 31
c) 4, 6, 12, 26, 39, 52, 62, 78, 93, 124, 156, 186, 372, 403, 806, 1209, 1612, 2418 and 4836
d) 1, 2, 3, 4, 6, 12, 13, 26, 31, 39, 52, 62, 78, 93, 124, 156, 186, 372, 403, 806, 1209, 1612, 2418 and 4836
Ans: b) 2, 3, 13, 31
3) 4836 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 12, 13, 26, 31, 39, 52, 62, 78, 93, 124, 156, 186, 372, 403, 806, 1209, 1612, 2418 and 4836
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all