Is 4512 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 4512 is composite or not first we have to find its factors.
Contents
Factors of 4512:
- If we have taken numbers from 1, 2, 3…for checking factors of 4512 we found that 4512 has factors 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 94, 96, 141, 188, 282, 376, 564, 752, 1128, 1504, 2256 and 4512. Hence, we must say that 4512 is a composite number.
- Thus, 4512 is the composite number.
- If we multiply 4512 by 1, 2, 3 then we get the multiples of 4512 which are 4512, 9024 and so on.
About the number 4512:
- 4512 has more than two factors which are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 94, 96, 141, 188, 282, 376, 564, 752, 1128, 1504, 2256 and 4512 and hence it is the composite number.
- 4512 is the even composite number and it is not the perfect square also.
- If we divide 4512 by, 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 94, 96, 141, 188, 282, 376, 564, 752, 1128, 1504, 2256 and 4512 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 94, 96, 141, 188, 282, 376, 564, 752, 1128, 1504, 2256 and 4512 are the factors of 4512.
Note:
- 4512 is not the perfect square.
- Factors of 4512: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 94, 96, 141, 188, 282, 376, 564, 752, 1128, 1504, 2256 and 4512
- Prime factors of 4512: 2, 3, 47
Conclusion:
- 4512 is the composite number which has factors, 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 94, 96, 141, 188, 282, 376, 564, 752, 1128, 1504, 2256 and 4512
- And hence, 4512 is not the prime number.
Multiple Choice Questions:
1) 4512 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 4512 are
a) 4512
b) 2, 3, 47
c) 4, 6, 8, 12, 16, 24, 32, 48, 94, 96, 141, 188, 282, 376, 564, 752, 1128, 1504, 2256 and 4512
d) 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 94, 96, 141, 188, 282, 376, 564, 752, 1128, 1504, 2256 and 4512
Ans: c) 4, 6, 8, 12, 16, 24, 32, 48, 94, 96, 141, 188, 282, 376, 564, 752, 1128, 1504, 2256 and 4512
3) 4512 is composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 94, 96, 141, 188, 282, 376, 564, 752, 1128, 1504, 2256 and 4512
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b