Is 2002 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 2002 is composite or not first we have to find its factors.
Contents
Factors of 2002:
- If we have taken numbers from 1, 2, 3…for checking factors of 2002, we found that 2002 has factors 1, 2, 7, 11, 13, 14, 22, 26, 77, 91, 143, 154, 182, 286, 1001 and 2002. Hence, we must say that 2002 is a composite number.
- Thus, 2002 is the composite number.
- If we multiply 2002 by 1, 2, 3 then we get the multiples of 2002 which are 2002, 4004 and so on.
About the number 2002:
- 2002 has more than two factors which are 1, 2, 7, 11, 13, 14, 22, 26, 77, 91, 143, 154, 182, 286, 1001 and 2002 and hence it is the composite number.
- 2002 is the even composite number and it is not the perfect square also.
- If we divide 2002 by, 1, 2, 7, 11, 13, 14, 22, 26, 77, 91, 143, 154, 182, 286, 1001 and 2002 then we get remainder as zero. Hence, 1, 2, 7, 11, 13, 14, 22, 26, 77, 91, 143, 154, 182, 286, 1001 and 2002 are the factors of 2002.
Note:
- 2002 is not the perfect square.
- Factors of 2002: 1, 2, 7, 11, 13, 14, 22, 26, 77, 91, 143, 154, 182, 286, 1001 and 2002
- Prime factors of 2002: 2, 7, 11, 13
Conclusion:
- 2002 is the composite number which has factors 1, 2, 7, 11, 13, 14, 22, 26, 77, 91, 143, 154, 182, 286, 1001 and 2002
- And hence, 2002 is not the prime number.
Multiple Choice Questions:
1) 2002 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 2002 are
a) 2002
b) 2, 7, 11, 13
c) 1,14, 22, 26, 77, 91, 143, 154, 182, 286, 1001 and 2002
d) 1, 2, 7, 11, 13, 14, 22, 26, 77, 91, 143, 154, 182, 286, 1001 and 2002
Ans: c) 1, 14, 22, 26, 77, 91, 143, 154, 182, 286, 1001 and 2002
3) 2002 is composite number because
a) It has factors 1, 2, 7, 11, 13, 14, 22, 26, 77, 91, 143, 154, 182, 286, 1001 and 2002
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) it has factors 1, 2, 7, 11, 13, 14, 22, 26, 77, 91, 143, 154, 182, 286, 1001 and 2002