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