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