Is 4578 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 4578 is composite or not first we have to find its factors.
Contents
Factors of 4578:
- If we have taken numbers from 1, 2, 3…for checking factors of 4578 we found that 4578 has factors 1, 2, 3, 6, 7, 14, 21, 42, 109, 218, 327, 654, 763, 1526, 2289 and 4578. Hence, we must say that 4578 is a composite number.
- Thus, 4578 is the composite number.
- If we multiply 4578 by 1, 2, 3 then we get the multiples of 4578 which are 4578, 9156 and so on.
About the number 4578:
- 4578 has more than two factors which are 1, 2, 3, 6, 7, 14, 21, 42, 109, 218, 327, 654, 763, 1526, 2289 and 4578 and hence it is the composite number.
- 4578 is the even composite number and it is not the perfect square also.
- If we divide 4578 by, 1, 2, 3, 6, 7, 14, 21, 42, 109, 218, 327, 654, 763, 1526, 2289 and 4578 then we get remainder as zero. Hence, 1, 2, 3, 6, 7, 14, 21, 42, 109, 218, 327, 654, 763, 1526, 2289 and 4578 are the factors of 4578.
Note:
- 4578 is not the perfect square.
- Factors of 4578: 1, 2, 3, 6, 7, 14, 21, 42, 109, 218, 327, 654, 763, 1526, 2289 and 4578
- Prime factors of 4578: 2, 3, 7, 109
Conclusion:
- 4578 is the composite number which has factors, 1, 2, 3, 6, 7, 14, 21, 42, 109, 218, 327, 654, 763, 1526, 2289 and 4578
- And hence, 4578 is not the prime number.
Multiple Choice Questions:
1) 4578 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 4578 are
a) 4578
b) 2, 3, 7, 109
c) 6, 14, 21, 42, 218, 327, 654, 763, 1526, 2289 and 4578
d) 1, 2, 3, 6, 7, 14, 21, 42, 109, 218, 327, 654, 763, 1526, 2289 and 4578
Ans: c) 6, 14, 21, 42, 218, 327, 654, 763, 1526, 2289 and 4578
3) 4578 is composite number because
a) It has factors 1, 2, 3, 6, 7, 14, 21, 42, 109, 218, 327, 654, 763, 1526, 2289 and 4578
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b