Is 4732 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 4732 is composite or not first we have to find its factors.
Contents
Factors of 4732:
- If we have taken numbers from 1, 2, 3…for checking factors of 4732 we found that 4732 has factors 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 169, 182, 338, 364, 676, 1183, 2366 and 4732. Hence, we must say that 4732 is a composite number.
- Thus, 4732 is the composite number.
- If we multiply 4732 by 1, 2, 3 then we get the multiples of 4732 which are 4732, 9464 and so on.
About the number 4732:
- 4732 has more than two factors which are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 169, 182, 338, 364, 676, 1183, 2366 and 4732 and hence it is the composite number.
- 4732 is the even composite number and it is not the perfect square also.
- If we divide 4732 by, 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 169, 182, 338, 364, 676, 1183, 2366 and 4732 then we get remainder as zero. Hence, 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 169, 182, 338, 364, 676, 1183, 2366 and 4732 are the factors of 4732.
Note:
- 4732 is not the perfect square.
- Factors of 4732: 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 169, 182, 338, 364, 676, 1183, 2366 and 4732
- Prime factors of 4732: 2, 7, 13
Conclusion:
- 4732 is the composite number which has factors, 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 169, 182, 338, 364, 676, 1183, 2366 and 4732
- And hence, 4732 is not the prime number.
Multiple Choice Questions:
1) 4732 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 4732 are
a) 4732
b) 2, 7, 13
c) 4, 14, 26, 28, 52, 91, 169, 182, 338, 364, 676, 1183, 2366 and 4732
d) 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 169, 182, 338, 364, 676, 1183, 2366 and 4732
Ans: b) 2, 7, 13
3) 4732 is even composite number because
a) It has factors 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 169, 182, 338, 364, 676, 1183, 2366 and 4732
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all