Is 1935 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 1935 is composite or not first we have to find its factors.
Contents
Factors of 1935:
- If we have taken numbers from 1, 2, 3…for checking factors of 1935, we found that 1935 has factors 1, 3, 5, 9, 15, 43, 45, 129, 215, 387, 645 and 1935. Hence, we must say that 1935 is a composite number.
- Thus, 1935 is the composite number.
- If we multiply 1935 by 1, 2, 3 then we get the multiples of 1935 which are 1935, 3870 and so on.
1935 is a Composite number or Prime number
About the number 1935:
- 1935 has more than two factors which are 1, 3, 5, 9, 15, 43, 45, 129, 215, 387, 645 and 1935 and hence it is the composite number.
- 1935 is the odd composite number and it is not the perfect square also.
- If we divide 1935 by 1, 3, 5, 9, 15, 43, 45, 129, 215, 387, 645 and 1935 then we get remainder as zero. Hence, 1, 3, 5, 9, 15, 43, 45, 129, 215, 387, 645 and 1935 are the factors of 1935
Note:
- 1935 is not the perfect square.
- Factors of 1935: 1, 3, 5, 9, 15, 43, 45, 129, 215, 387, 645 and 1935
- Prime factors of 1935: 3, 5, 43
Conclusion:
- 1935 is the composite number which has factors 1, 3, 5, 9, 15, 43, 45, 129, 215, 387, 645 and 1935.
- And hence, 1935 is not the prime number.
Multiple Choice Questions:
1) 1935 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 1935 are
a) 1
b) 3, 5, 43
c) 1, 9, 15, 45, 129, 215, 387, 645 and 1935
d) 1, 3, 5, 9, 15, 43, 45, 129, 215, 387, 645 and 1935
Ans: b) 1, 9, 15, 45, 129, 215, 387, 645 and 1935
3) 1935 is the odd composite number because
a) It has factors 1, 3, 5, 9, 15, 43, 45, 129, 215, 387, 645 and 1935
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all