Is 3705 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 3705 is composite or not first we have to find its factors.
Contents
Factors of 3705:
- If we have taken numbers from 1, 2, 3…for checking factors of 3705, we found that 3705 has factors 1, 3, 5, 13, 15, 19, 39, 57, 65, 95, 195, 247, 285, 741 and 3705. Hence, we must say that 3705 is a composite number.
- Thus, 3705 is the composite number.
- If we multiply 3705 by 1, 2, 3 then we get the multiples of 3705 which are 3705, 7410 and so on.
3705 is a Composite number or Prime number
About the number 3705:
- 3705 has more than two factors which are 1, 3, 5, 13, 15, 19, 39, 57, 65, 95, 195, 247, 285, 741 and 3705 and hence it is the composite number.
- 3705 is the odd composite number and it is not the perfect square also.
- If we divide 3705 by 1, 3, 5, 13, 15, 19, 39, 57, 65, 95, 195, 247, 285, 741 and 3705 then we get remainder as zero. Hence 1, 3, 5, 13, 15, 19, 39, 57, 65, 95, 195, 247, 285, 741 and 3705 are the factors of 3705
Note:
- 3705 is not the perfect square.
- Factors of 3705:1, 3, 5, 13, 15, 19, 39, 57, 65, 95, 195, 247, 285, 741 and 3705
- Prime factors of 3705: 3, 5, 13, 19
Conclusion:
- 3705 is the composite number which has factors 1, 3, 5, 13, 15, 19, 39, 57, 65, 95, 195, 247, 285, 741 and 3705.
- And hence, 3705 is not the prime number.
Multiple Choice Questions:
1) 3705 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 3705 are
a) 1
b) 3, 5, 13, 19
c) 1, 3, 5, 13, 15, 19, 39, 57, 65, 95, 195, 247, 285, 741 and 3705
d) 1, 15, 39, 57, 65, 95, 195, 247, 285, 741 and 3705
Ans: d)1, 15, 39, 57, 65, 95, 195, 247, 285, 741 and 3705
3) 3705 is the odd composite number because
a) It has factors 1, 3, 5, 13, 15, 19, 39, 57, 65, 95, 195, 247, 285, 741 and 3705
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all
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