Is 4584 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 4584 is composite or not first we have to find its factors.
Contents
Factors of 4584:
- If we have taken numbers from 1, 2, 3…for checking factors of 4584 we found that 4584 has factors 1, 2, 3, 4, 6, 8, 12, 24, 191, 382, 573, 764, 1146, 1528, 2292 and 4584. Hence, we must say that 4584 is a composite number.
- Thus, 4584 is the composite number.
- If we multiply 4584 by 1, 2, 3 then we get the multiples of 4584 which are 4584, 9168 and so on.
About the number 4584:
- 4584 has more than two factors which are 1, 2, 3, 4, 6, 8, 12, 24, 191, 382, 573, 764, 1146, 1528, 2292 and 4584 and hence it is the composite number.
- 4584 is the even composite number and it is not the perfect square also.
- If we divide 4584 by, 1, 2, 3, 4, 6, 8, 12, 24, 191, 382, 573, 764, 1146, 1528, 2292 and 4584 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 12, 24, 191, 382, 573, 764, 1146, 1528, 2292 and 4584 are the factors of 4584.
Note:
- 4584 is not the perfect square.
- Factors of 4584: 1, 2, 3, 4, 6, 8, 12, 24, 191, 382, 573, 764, 1146, 1528, 2292 and 4584
- Prime factors of 4584: 2, 3, 191
Conclusion:
- 4584 is the composite number which has factors, 1, 2, 3, 4, 6, 8, 12, 24, 191, 382, 573, 764, 1146, 1528, 2292 and 4584
- And hence, 4584 is not the prime number.
Multiple Choice Questions:
1) 4584 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 4584 are
a) 4584
b) 2, 3, 191
c) 4, 6, 8, 12, 24, 382, 573, 764, 1146, 1528, 2292 and 4584
d) 1, 2, 3, 4, 6, 8, 12, 24, 191, 382, 573, 764, 1146, 1528, 2292 and 4584
Ans: c) 4, 6, 8, 12, 24, 382, 573, 764, 1146, 1528, 2292 and 4584
3) 4584 is composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 12, 24, 191, 382, 573, 764, 1146, 1528, 2292 and 4584
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b