Is 3645 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 3645 is composite or not first we have to find its factors.
Contents
Factors of 3645:
- If we have taken numbers from 1, 2, 3…for checking factors of 3645, we found that 3645 has factors 1, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 729, 1215 and 3645. Hence, we must say that 3645 is a composite number.
- Thus, 3645 is the composite number.
- If we multiply 3645 by 1, 2, 3 then we get the multiples of 3645 which are 3645, 7290 and so on.
3645 is a Composite number or Prime number
About the number 3645:
- 3645 has more than two factors which are 1, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 729, 1215 and 3645 and hence it is the composite number.
- 3645 is the odd composite number and it is not the perfect square also.
- If we divide 3645 by 1, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 729, 1215 and 3645 then we get remainder as zero. Hence 1, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 729, 1215 and 3645 are the factors of 3645
Note:
- 3645 is not the perfect square.
- Factors of 3645:1, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 729, 1215 and 3645
- Prime factors of 3645: 3, 5
Conclusion:
- 3645 is the composite number which has factors 1, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 729, 1215 and 3645.
- And hence, 3645 is not the prime number.
Multiple Choice Questions:
1) 3645 is a
a) odd number
b) Prime number
c) even number
d) Both a and c
Ans: a) odd number
2) The non-prime factors of a composite number 3645 are
a) 1
b) 3, 5
c) 1, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 729, 1215 and 3645
d) 1, 9, 15, 27, 45, 81, 135, 243, 405, 729, 1215 and 3645
Ans: d)1, 9, 15, 27, 45, 81, 135, 243, 405, 729, 1215 and 3645
3) 3645 is the odd composite number because
a) It has factors 1, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 729, 1215 and 3645
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all
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