Is 4020 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 4020 is composite or not first we have to find its factors.
Contents
Factors of 4020:
- If we have taken numbers from 1, 2, 3…for checking factors of 4020 we found that 4020 has factors 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 67, 134, 201, 268, 335, 402, 670, 804, 1005, 1340, 2010 and 4020. Hence, we must say that 4020 is a composite number.
- Thus, 4020 is the composite number.
- If we multiply 4020 by 1, 2, 3 then we get the multiples of 4020 which are 4020, 8040 and so on.
About the number 4020:
- 4020 has more than two factors which are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 67, 134, 201, 268, 335, 402, 670, 804, 1005, 1340, 2010 and 4020 and hence it is the composite number.
- 4020 is the even composite number and it is not the perfect square also.
- If we divide 4020 by, 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 67, 134, 201, 268, 335, 402, 670, 804, 1005, 1340, 2010 and 4020 then we get remainder as zero. Hence, 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 67, 134, 201, 268, 335, 402, 670, 804, 1005, 1340, 2010 and 4020 are the factors of 4020.
Note:
- 4020 is not the perfect square.
- Factors of 4020: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 67, 134, 201, 268, 335, 402, 670, 804, 1005, 1340, 2010 and 4020
- Prime factors of 4020: 2, 3, 5, 67
Conclusion:
- 4020 is the composite number which has factors, 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 67, 134, 201, 268, 335, 402, 670, 804, 1005, 1340, 2010 and 4020
- And hence, 4020 is not the prime number.
Multiple Choice Questions:
1) 4020 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 4020 are
a) 4020
b) 2, 3, 5, 67
c) 4, 6, 10, 12, 15, 20, 30, 60, 134, 201, 268, 335, 402, 670, 804, 1005, 1340, 2010 and 4020
d) 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 67, 134, 201, 268, 335, 402, 670, 804, 1005, 1340, 2010 and 4020
Ans: c) 4, 6, 10, 12, 15, 20, 30, 60, 134, 201, 268, 335, 402, 670, 804, 1005, 1340, 2010 and 4020
3) 4020 is composite number because
a) It has factors 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 67, 134, 201, 268, 335, 402, 670, 804, 1005, 1340, 2010 and 4020
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b