Is 1965 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 1965 is composite or not first we have to find its factors.
Contents
Factors of 1965:
- If we have taken numbers from 1, 2, 3…for checking factors of 1965, we found that 1965 has factors 1, 3, 5, 15, 131, 393, 655 and 1965. Hence, we must say that 1965 is a composite number.
- Thus, 1965 is the composite number.
- If we multiply 1965 by 1, 2, 3 then we get the multiples of 1965 which are 1965, 3930 and so on.
1965 is a Composite number or Prime number
About the number 1965:
- 1965 has more than two factors which are 1, 3, 5, 15, 131, 393, 655 and 1965 and hence it is the composite number.
- 1965 is the odd composite number and it is not the perfect square also.
- If we divide 1965 by 1, 3, 5, 15, 131, 393, 655 and 1965 then we get remainder as zero. Hence, 1, 3, 5, 15, 131, 393, 655 and 1965 are the factors of 1965
Note:
- 1965 is not the perfect square.
- Factors of 1965: 1, 3, 5, 15, 131, 393, 655 and 1965
- Prime factors of 1965: 3, 5, 131
Conclusion:
- 1965 is the composite number which has factors 1, 3, 5, 15, 131, 393, 655 and 1965.
- And hence, 1965 is not the prime number.
Multiple Choice Questions:
1) 1965 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 1965 are
a) 1
b) 3, 5, 131
c) 1, 15, 393, 655 and 1965
d) 1, 3, 5, 15, 131, 393, 655 and 1965
Ans: c) 1, 15, 393, 655 and 1965
3) 1965 is the odd composite number because
a) It has factors 1, 3, 5, 15, 131, 393, 655 and 1965
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all