Is 2001 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 2001 is composite or not first we have to find its factors.
Contents
Factors of 2001:
- If we have taken numbers from 1, 2, 3…for checking factors of 2001, we found that 2001 has factors 1, 3, 23, 29, 69, 87, 667 and 2001. Hence, we must say that 2001 is a composite number.
- Thus, 2001 is the composite number.
- If we multiply 2001 by 1, 2, 3 then we get the multiples of 2001 which are 2001, 4002 and so on.
2001 is a Composite number or Prime number
About the number 2001:
- 2001 has more than two factors which are 1, 3, 23, 29, 69, 87, 667 and 2001 and hence it is the composite number.
- 2001 is the odd composite number and it is not the perfect square also.
- If we divide 2001 by 1, 3, 23, 29, 69, 87, 667 and 2001 then we get remainder as zero. Hence, 1, 3, 23, 29, 69, 87, 667 and 2001 are the factors of 2001
Note:
- 2001 is not the perfect square.
- Factors of 2001: 1, 3, 23, 29, 69, 87, 667 and 2001
- Prime factors of 2001: 3, 23, 29
Conclusion:
- 2001 is the composite number which has factors 1, 3, 23, 29, 69, 87, 667 and 2001.
- And hence, 2001 is not the prime number.
Multiple Choice Questions:
1) 2001 is a
a) Even number
b) Prime number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The non-prime factors of a composite number 2001 are
a) 1
b) 3, 23, 29
c) 1, 69, 87, 667 and 2001
d) 1, 3, 23, 29, 69, 87, 667 and 2001
Ans: c) 1, 69, 87, 667 and 2001
3) 2001 is the odd composite number because
a) It has factors 1, 3, 23, 29, 69, 87, 667 and 2001
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all