Is 3680 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 3680 is composite or not first we have to find its factors.
Contents
Factors of 3680:
- If we have taken numbers from 1, 2, 3…for checking factors of 3680, we found that 3680 has factors 1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 80, 92, 115, 160, 184, 230, 368, 460, 736, 920, 1840 and 3680. Hence, we must say that 3680 is a composite number.
- Thus, 3680 is the composite number.
- If we multiply 3680 by 1, 2, 3 then we get the multiples of 3680 which are 3680, 7360 and so on.
About the number 3680:
- 3680 has more than two factors which are 1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 80, 92, 115, 160, 184, 230, 368, 460, 736, 920, 1840 and 3680 and hence it is the composite number.
- 3680 is the even composite number and it is not the perfect square also.
- If we divide 3680 by, 1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 80, 92, 115, 160, 184, 230, 368, 460, 736, 920, 1840 and 3680 then we get remainder as zero. Hence, 1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 80, 92, 115, 160, 184, 230, 368, 460, 736, 920, 1840 and 3680 are the factors of 3680.
Note:
- 3680 is not the perfect square.
- Factors of 3680: 1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 80, 92, 115, 160, 184, 230, 368, 460, 736, 920, 1840 and 3680
- Prime factors of 3680: 2, 5, 23
Conclusion:
- 3680 is the composite number which has factors, 1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 80, 92, 115, 160, 184, 230, 368, 460, 736, 920, 1840 and 3680
- And hence, 3680 is not the prime number.
Multiple Choice Questions:
1) 3680 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 3680 are
a) 3680
b) 2, 5, 23
c) 4, 8, 10, 16, 20, 32, 40, 46, 80, 92, 115, 160, 184, 230, 368, 460, 736, 920, 1840 and 3680
d) 1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 80, 92, 115, 160, 184, 230, 368, 460, 736, 920, 1840 and 3680
Ans: b) 2, 5, 23
3) 3680 is even composite number because
a) It has factors 1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 80, 92, 115, 160, 184, 230, 368, 460, 736, 920, 1840 and 3680
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all