Is 4000 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 4000 is composite or not first we have to find its factors.
Factors of 4000:
- If we have taken numbers from 1, 2, 3…for checking factors of 4000, we found that 4000 has factors 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000 and 4000. Hence, we must say that 4000 is a composite number.
- Thus, 4000 is the composite number.
- If we multiply 4000 by 1, 2, 3 then we get the multiples of 4000 which are 4000, 8000 and so on.
About the number 4000:
- 4000 has more than two factors which are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000 and 4000 and hence it is the composite number.
- 4000 is the even composite number and it is not the perfect square also.
- If we divide 4000 by, 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000 and 4000 then we get remainder as zero. Hence, 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000 and 4000 are the factors of 4000.
Note:
- 4000 is not the perfect square.
- Factors of 4000: 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000 and 4000
- Prime factors of 4000: 2, 5
Conclusion:
- 4000 is the composite number which has factors, 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000 and 4000
- And hence, 4000 is not the prime number.
Multiple Choice Questions:
1) 4000 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 4000 are
a) 4000
b) 2, 5
c) 4, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000 and 4000
d) 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000 and 4000
Ans: c) 4, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000 and 4000
3) 4000 is composite number because
a) It has factors 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000 and 4000
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b