Is 3690 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 3690 is composite or not first we have to find its factors.
Contents
Factors of 3690:
- If we have taken numbers from 1, 2, 3…for checking factors of 3690, we found that 3690 has factors 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 41, 45, 82, 90, 123, 205, 246, 369, 410, 615, 738, 1230, 1845 and 3690. Hence, we must say that 3690 is a composite number.
- Thus, 3690 is the composite number.
- If we multiply 3690 by 1, 2, 3 then we get the multiples of 3690 which are 3690, 7380 and so on.
About the number 3690:
- 3690 has more than two factors which are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 41, 45, 82, 90, 123, 205, 246, 369, 410, 615, 738, 1230, 1845 and 3690 and hence it is the composite number.
- 3690 is the even composite number and it is not the perfect square also.
- If we divide 3690 by, 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 41, 45, 82, 90, 123, 205, 246, 369, 410, 615, 738, 1230, 1845 and 3690 then we get remainder as zero. Hence, 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 41, 45, 82, 90, 123, 205, 246, 369, 410, 615, 738, 1230, 1845 and 3690 are the factors of 3690.
Note:
- 3690 is not the perfect square.
- Factors of 3690: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 41, 45, 82, 90, 123, 205, 246, 369, 410, 615, 738, 1230, 1845 and 3690
- Prime factors of 3690: 2, 3, 5, 41
Conclusion:
- 3690 is the composite number which has factors, 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 41, 45, 82, 90, 123, 205, 246, 369, 410, 615, 738, 1230, 1845 and 3690
- And hence, 3690 is not the prime number.
Multiple Choice Questions:
1) 3690 is a
a) Prime number
b) Odd number
c) Composite number
d) Both b and c
Ans: c) composite number
2) The prime factors of a composite number 3690 are
a) 3690
b) 2, 3, 5, 41
c) 6, 9, 10, 15, 18, 30, 45, 82, 90, 123, 205, 246, 369, 410, 615, 738, 1230, 1845 and 3690
d) 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 41, 45, 82, 90, 123, 205, 246, 369, 410, 615, 738, 1230, 1845 and 3690
Ans: b) 2, 3, 5, 41
3) 3690 is even composite number because
a) It has factors 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 41, 45, 82, 90, 123, 205, 246, 369, 410, 615, 738, 1230, 1845 and 3690
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all