Is 1995 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 1995 is composite or not first we have to find its factors.
Contents
Factors of 1995:
- If we have taken numbers from 1, 2, 3…for checking factors of 1995, we found that 1995 has factors 1, 3, 5, 7, 15, 19, 21, 35, 57, 95, 105, 133, 285, 399, 665 and 1995. Hence, we must say that 1995 is a composite number.
- Thus, 1995 is the composite number.
- If we multiply 1995 by 1, 2, 3 then we get the multiples of 1995 which are 1995, 3990 and so on.
1995 is a Composite number or Prime number
About the number 1995:
- 1995 has more than two factors which are 1, 3, 5, 7, 15, 19, 21, 35, 57, 95, 105, 133, 285, 399, 665 and 1995 and hence it is the composite number.
- 1995 is the odd composite number and it is not the perfect square also.
- If we divide 1995 by 1, 3, 5, 7, 15, 19, 21, 35, 57, 95, 105, 133, 285, 399, 665 and 1995 then we get remainder as zero. Hence, 1, 3, 5, 7, 15, 19, 21, 35, 57, 95, 105, 133, 285, 399, 665 and 1995 are the factors of 1995
Note:
- 1995 is not the perfect square.
- Factors of 1995: 1, 3, 5, 7, 15, 19, 21, 35, 57, 95, 105, 133, 285, 399, 665 and 1995
- Prime factors of 1995: 3, 5, 7, 19
Conclusion:
- 1995 is the composite number which has factors 1, 3, 5, 7, 15, 19, 21, 35, 57, 95, 105, 133, 285, 399, 665 and 1995.
- And hence, 1995 is not the prime number.
Multiple Choice Questions:
1) 1995 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 1995 are
a) 1
b) 3, 5, 7, 19
c) 1, 15, 21, 35, 57, 95, 105, 133, 285, 399, 665 and 1995
d) 1, 3, 5, 7, 15, 19, 21, 35, 57, 95, 105, 133, 285, 399, 665 and 1995
Ans: c) 1, 15, 21, 35, 57, 95, 105, 133, 285, 399, 665 and 1995
3) 1995 is the odd composite number because
a) It has factors 1, 3, 5, 7, 15, 19, 21, 35, 57, 95, 105, 133, 285, 399, 665 and 1995
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all