Is 4524 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 4524 is composite or not first we have to find its factors.
Contents
Factors of 4524:
- If we have taken numbers from 1, 2, 3…for checking factors of 4524 we found that 4524 has factors 1, 2, 3, 4, 6, 12, 13, 26, 29, 39, 52, 58, 78, 87, 116, 156, 174, 348, 377, 754, 1131, 1508, 2262 and 4524. Hence, we must say that 4524 is a composite number.
- Thus, 4524 is the composite number.
- If we multiply 4524 by 1, 2, 3 then we get the multiples of 4524 which are 4524, 9048 and so on.
About the number 4524:
- 4524 has more than two factors which are 1, 2, 3, 4, 6, 12, 13, 26, 29, 39, 52, 58, 78, 87, 116, 156, 174, 348, 377, 754, 1131, 1508, 2262 and 4524 and hence it is the composite number.
- 4524 is the even composite number and it is not the perfect square also.
- If we divide 4524 by, 1, 2, 3, 4, 6, 12, 13, 26, 29, 39, 52, 58, 78, 87, 116, 156, 174, 348, 377, 754, 1131, 1508, 2262 and 4524 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 12, 13, 26, 29, 39, 52, 58, 78, 87, 116, 156, 174, 348, 377, 754, 1131, 1508, 2262 and 4524 are the factors of 4524.
Note:
- 4524 is not the perfect square.
- Factors of 4524: 1, 2, 3, 4, 6, 12, 13, 26, 29, 39, 52, 58, 78, 87, 116, 156, 174, 348, 377, 754, 1131, 1508, 2262 and 4524
- Prime factors of 4524: 2, 3, 13, 29
Conclusion:
- 4524 is the composite number which has factors, 1, 2, 3, 4, 6, 12, 13, 26, 29, 39, 52, 58, 78, 87, 116, 156, 174, 348, 377, 754, 1131, 1508, 2262 and 4524
- And hence, 4524 is not the prime number.
Multiple Choice Questions:
1) 4524 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 4524 are
a) 4524
b) 2, 3, 13, 29
c) 4, 6, 12, 26, 39, 52, 58, 78, 87, 116, 156, 174, 348, 377, 754, 1131, 1508, 2262 and 4524
d) 1, 2, 3, 4, 6, 12, 13, 26, 29, 39, 52, 58, 78, 87, 116, 156, 174, 348, 377, 754, 1131, 1508, 2262 and 4524
Ans: c) 4, 6, 12, 26, 39, 52, 58, 78, 87, 116, 156, 174, 348, 377, 754, 1131, 1508, 2262 and 4524
3) 4524 is composite number because
a) It has factors 1, 2, 3, 4, 6, 12, 13, 26, 29, 39, 52, 58, 78, 87, 116, 156, 174, 348, 377, 754, 1131, 1508, 2262 and 4524
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b