Is 1635 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 1635 is composite or not first we have to find its factors.
Contents
Factors of 1635:
- If we have taken numbers from 1, 2, 3…for checking factors of 1635, we found that 1635 has factors 1, 3, 5, 15, 109, 327, 545 and 1635. Hence, we must say that 1635 is a composite number.
- Thus, 1635 is the composite number.
- If we multiply 1635 by 1, 2, 3 then we get the multiples of 1635 which are 1635, 3270 and so on.
1635 is a Composite number or Prime number
About the number 1635:
- 1635 has more than two factors which are 1, 3, 5, 15, 109, 327, 545 and 1635 and hence it is the composite number.
- 1635 is the odd composite number and it is not the perfect square also.
- If we divide 1635 by 1, 3, 5, 15, 109, 327, 545 and 1635 then we get remainder as zero. Hence, 1, 3, 5, 15, 109, 327, 545 and 1635 are the factors of 1635
Note:
- 1635 is not the perfect square.
- Factors of 1635: 1, 3, 5, 15, 109, 327, 545 and 1635
- Prime factors of 1635: 3, 5, 109
Conclusion:
- 1635 is the composite number which has factors 1, 3, 5, 15, 109, 327, 545 and 1635.
- And hence, 1635 is not the prime number.
Multiple Choice Questions:
1) 1635 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 1635 are
a) 1
b) 3, 5, 109
c) 1, 15, 327, 545 and 1635
d) 1, 3, 5, 15, 109, 327, 545 and 1635
Ans: b) 1, 15, 327, 545 and 1635
3) 1635 is the odd composite number because
a) It has factors 1, 3, 5, 15, 109, 327, 545 and 1635
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all