Is 4380 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 4380 is composite or not first we have to find its factors.
Contents
Factors of 4380:
- If we have taken numbers from 1, 2, 3…for checking factors of 4380 we found that 4380 has factors 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 73, 146, 219, 292, 365, 438, 730, 876, 1095, 1460, 2190 and 4380. Hence, we must say that 4380 is a composite number.
- Thus, 4380 is the composite number.
- If we multiply 4380 by 1, 2, 3 then we get the multiples of 4380 which are 4380, 8760 and so on.
About the number 4380:
- 4380 has more than two factors which are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 73, 146, 219, 292, 365, 438, 730, 876, 1095, 1460, 2190 and 4380 and hence it is the composite number.
- 4380 is the even composite number and it is not the perfect square also.
- If we divide 4380 by, 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 73, 146, 219, 292, 365, 438, 730, 876, 1095, 1460, 2190 and 4380 then we get remainder as zero. Hence, 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 73, 146, 219, 292, 365, 438, 730, 876, 1095, 1460, 2190 and 4380 are the factors of 4380.
Note:
- 4380 is not the perfect square.
- Factors of 4380: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 73, 146, 219, 292, 365, 438, 730, 876, 1095, 1460, 2190 and 4380
- Prime factors of 4380: 2, 3, 5, 73
Conclusion:
- 4380 is the composite number which has factors, 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 73, 146, 219, 292, 365, 438, 730, 876, 1095, 1460, 2190 and 4380
- And hence, 4380 is not the prime number.
Multiple Choice Questions:
1) 4380 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 4380 are
a) 4380
b) 2, 3, 5, 73
c) 4, 6, 10, 12, 15, 20, 30, 60, 146, 219, 292, 365, 438, 730, 876, 1095, 1460, 2190 and 4380
d) 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 73, 146, 219, 292, 365, 438, 730, 876, 1095, 1460, 2190 and 4380
Ans: c) 4, 6, 10, 12, 15, 20, 30, 60, 146, 219, 292, 365, 438, 730, 876, 1095, 1460, 2190 and 4380
3) 4380 is composite number because
a) It has factors 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 73, 146, 219, 292, 365, 438, 730, 876, 1095, 1460, 2190 and 4380
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b