Is 3735 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 3735 is composite or not first we have to find its factors.
Contents
Factors of 3735:
- If we have taken numbers from 1, 2, 3…for checking factors of 3735, we found that 3735 has factors 1, 3, 5, 9, 15, 45, 83, 249, 415, 747, 1245 and 3735. Hence, we must say that 3735 is a composite number.
- Thus, 3735 is the composite number.
- If we multiply 3735 by 1, 2, 3 then we get the multiples of 3735 which are 3735, 7470 and so on.
3735 is a Composite number or Prime number
About the number 3735:
- 3735 has more than two factors which are 1, 3, 5, 9, 15, 45, 83, 249, 415, 747, 1245 and 3735 and hence it is the composite number.
- 3735 is the odd composite number and it is not the perfect square also.
- If we divide 3735 by 1, 3, 5, 9, 15, 45, 83, 249, 415, 747, 1245 and 3735 then we get remainder as zero. Hence 1, 3, 5, 9, 15, 45, 83, 249, 415, 747, 1245 and 3735 are the factors of 3735
Note:
- 3735 is not the perfect square.
- Factors of 3735:1, 3, 5, 9, 15, 45, 83, 249, 415, 747, 1245 and 3735
- Prime factors of 3735: 3, 5, 83
Conclusion:
- 3735 is the composite number which has factors 1, 3, 5, 9, 15, 45, 83, 249, 415, 747, 1245 and 3735.
- And hence, 3735 is not the prime number.
Multiple Choice Questions:
1) 3735 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 3735 are
a) 1
b) 3, 5, 83
c) 1, 3, 5, 9, 15, 45, 83, 249, 415, 747, 1245 and 3735
d) 1, 9, 15, 45, 249, 415, 747, 1245 and 3735
Ans: d)1, 9, 15, 45, 249, 415, 747, 1245 and 3735
3) 3735 is the odd composite number because
a) It has factors 1, 3, 5, 9, 15, 45, 83, 249, 415, 747, 1245 and 3735
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all
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