Is 4932 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 4932 is composite or not first we have to find its factors.
Contents
Factors of 4932:
- If we have taken numbers from 1, 2, 3…for checking factors of 4932 we found that 4932 has factors 1, 2, 3, 4, 6, 9, 12, 18, 36, 137, 274, 411, 548, 822, 1233, 1644, 2466 and 4932. Hence, we must say that 4932 is a composite number.
- Thus, 4932 is the composite number.
- If we multiply 4932 by 1, 2, 3 then we get the multiples of 4932 which are 4932, 9864 and so on.
About the number 4932:
- 4932 has more than two factors which are 1, 2, 3, 4, 6, 9, 12, 18, 36, 137, 274, 411, 548, 822, 1233, 1644, 2466 and 4932 and hence it is the composite number.
- 4932 is the even composite number and it is not the perfect square also.
- If we divide 4932 by, 1, 2, 3, 4, 6, 9, 12, 18, 36, 137, 274, 411, 548, 822, 1233, 1644, 2466 and 4932 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 9, 12, 18, 36, 137, 274, 411, 548, 822, 1233, 1644, 2466 and 4932 are the factors of 4932.
Note:
- 4932 is not the perfect square.
- Factors of 4932: 1, 2, 3, 4, 6, 9, 12, 18, 36, 137, 274, 411, 548, 822, 1233, 1644, 2466 and 4932
- Prime factors of 4932: 2, 3, 137
Conclusion:
- 4932 is the composite number which has factors, 1, 2, 3, 4, 6, 9, 12, 18, 36, 137, 274, 411, 548, 822, 1233, 1644, 2466 and 4932
- And hence, 4932 is not the prime number.
Multiple Choice Questions:
1) 4932 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 4932 are
a) 4932
b) 2, 3, 137
c) 4, 6, 9, 12, 18, 36, 274, 411, 548, 822, 1233, 1644, 2466 and 4932
d) 1, 2, 3, 4, 6, 9, 12, 18, 36, 137, 274, 411, 548, 822, 1233, 1644, 2466 and 4932
Ans: b) 2, 3, 137
3) 4932 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 9, 12, 18, 36, 137, 274, 411, 548, 822, 1233, 1644, 2466 and 4932
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all