Is 4580 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 4580 is composite or not first we have to find its factors.
Contents
Factors of 4580:
- If we have taken numbers from 1, 2, 3…for checking factors of 4580 we found that 4580 has factors 1, 2, 4, 5, 10, 20, 229, 458, 916, 1145, 2290 and 4580. Hence, we must say that 4580 is a composite number.
- Thus, 4580 is the composite number.
- If we multiply 4580 by 1, 2, 3 then we get the multiples of 4580 which are 4580, 9160 and so on.
About the number 4580:
- 4580 has more than two factors which are 1, 2, 4, 5, 10, 20, 229, 458, 916, 1145, 2290 and 4580 and hence it is the composite number.
- 4580 is the even composite number and it is not the perfect square also.
- If we divide 4580 by, 1, 2, 4, 5, 10, 20, 229, 458, 916, 1145, 2290 and 4580 then we get remainder as zero. Hence, 1, 2, 4, 5, 10, 20, 229, 458, 916, 1145, 2290 and 4580 are the factors of 4580.
Note:
- 4580 is not the perfect square.
- Factors of 4580: 1, 2, 4, 5, 10, 20, 229, 458, 916, 1145, 2290 and 4580
- Prime factors of 4580: 2, 5, 229
Conclusion:
- 4580 is the composite number which has factors, 1, 2, 4, 5, 10, 20, 229, 458, 916, 1145, 2290 and 4580
- And hence, 4580 is not the prime number.
Multiple Choice Questions:
1) 4580 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 4580 are
a) 4580
b) 2, 5, 229
c) 4, 10, 20, 458, 916, 1145, 2290 and 4580
d) 1, 2, 4, 5, 10, 20, 229, 458, 916, 1145, 2290 and 4580
Ans: c) 4, 10, 20, 458, 916, 1145, 2290 and 4580
3) 4580 is composite number because
a) It has factors 1, 2, 4, 5, 10, 20, 229, 458, 916, 1145, 2290 and 4580
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b