Is 4460 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 4460 is composite or not first we have to find its factors.
Contents
Factors of 4460:
- If we have taken numbers from 1, 2, 3…for checking factors of 4460 we found that 4460 has factors 1, 2, 4, 5, 10, 20, 223, 446, 892, 1115, 2230 and 4460. Hence, we must say that 4460 is a composite number.
- Thus, 4460 is the composite number.
- If we multiply 4460 by 1, 2, 3 then we get the multiples of 4460 which are 4460, 8920 and so on.
About the number 4460:
- 4460 has more than two factors which are 1, 2, 4, 5, 10, 20, 223, 446, 892, 1115, 2230 and 4460 and hence it is the composite number.
- 4460 is the even composite number and it is not the perfect square also.
- If we divide 4460 by, 1, 2, 4, 5, 10, 20, 223, 446, 892, 1115, 2230 and 4460 then we get remainder as zero. Hence, 1, 2, 4, 5, 10, 20, 223, 446, 892, 1115, 2230 and 4460 are the factors of 4460.
Note:
- 4460 is not the perfect square.
- Factors of 4460: 1, 2, 4, 5, 10, 20, 223, 446, 892, 1115, 2230 and 4460
- Prime factors of 4460: 2, 5, 223
Conclusion:
- 4460 is the composite number which has factors, 1, 2, 4, 5, 10, 20, 223, 446, 892, 1115, 2230 and 4460
- And hence, 4460 is not the prime number.
Multiple Choice Questions:
1) 4460 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 4460 are
a) 4460
b) 2, 5, 223
c) 4, 10, 20, 446, 892, 1115, 2230 and 4460
d) 1, 2, 4, 5, 10, 20, 223, 446, 892, 1115, 2230 and 4460
Ans: c) 4, 10, 20, 446, 892, 1115, 2230 and 4460
3) 4460 is composite number because
a) It has factors 1, 2, 4, 5, 10, 20, 223, 446, 892, 1115, 2230 and 4460
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b