Is 2015 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 2015 is composite or not first we have to find its factors.
Contents
Factors of 2015:
- If we have taken numbers from 1, 2, 3…for checking factors of 2015, we found that 2015 has factors 1, 5, 13, 31, 65, 155 and 2015. Hence, we must say that 2015 is a composite number.
- Thus, 2015 is the composite number.
- If we multiply 2015 by 1, 2, 3 then we get the multiples of 2015 which are 2015, 4030 and so on.
2015 is a Composite number or Prime number
About the number 2015:
- 2015 has more than two factors which are 1, 5, 13, 31, 65, 155 and 2015 and hence it is the composite number.
- 2015 is the odd composite number and it is not the perfect square also.
- If we divide 2015 by 1, 5, 13, 31, 65, 155 and 2015 then we get remainder as zero. Hence, 1, 5, 13, 31, 65, 155 and 2015 are the factors of 2015
Note:
- 2015 is not the perfect square.
- Factors of 2015: 1, 5, 13, 31, 65, 155 and 2015
- Prime factors of 2015: 5, 13, 31
Conclusion:
- 2015 is the composite number which has factors 1, 5, 13, 31, 65, 155 and 2015.
- And hence, 2015 is not the prime number.
Multiple Choice Questions:
1) 2015 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 2015 are
a) 1
b) 5, 13, 31
c) 1, 65, 155 and 2015
d) 1, 5, 13, 31, 65, 155 and 2015
Ans: c) 1, 65, 155 and 2015
3) 2015 is the odd composite number because
a) It has factors 1, 5, 13, 31, 65, 155 and 2015
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all