Is 3280 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 3280 is composite or not first we have to find its factors.
Contents
Factors of 3280:
- If we have taken numbers from 1, 2, 3…for checking factors of 3280, we found that 3280 has factors 1, 2, 4, 5, 8, 10, 16, 20, 40, 41, 80, 82, 164, 205, 328, 410, 656, 820, 1640 and 3280. Hence, we must say that 3280 is a composite number.
- Thus, 3280 is the composite number.
- If we multiply 3280 by 1, 2, 3 then we get the multiples of 3280 which are 3280, 6560 and so on.
About the number 3280:
- 3280 has more than two factors which are 1, 2, 4, 5, 8, 10, 16, 20, 40, 41, 80, 82, 164, 205, 328, 410, 656, 820, 1640 and 3280 and hence it is the composite number.
- 3280 is the even composite number and it is not the perfect square also.
- If we divide 3280 by, 1, 2, 4, 5, 8, 10, 16, 20, 40, 41, 80, 82, 164, 205, 328, 410, 656, 820, 1640 and 3280 then we get remainder as zero. Hence, 1, 2, 4, 5, 8, 10, 16, 20, 40, 41, 80, 82, 164, 205, 328, 410, 656, 820, 1640 and 3280 are the factors of 3280.
Note:
- 3280 is not the perfect square.
- Factors of 3280: 1, 2, 4, 5, 8, 10, 16, 20, 40, 41, 80, 82, 164, 205, 328, 410, 656, 820, 1640 and 3280
- Prime factors of 3280: 2, 5, 41
Conclusion:
- 3280 is the composite number which has factors, 1, 2, 4, 5, 8, 10, 16, 20, 40, 41, 80, 82, 164, 205, 328, 410, 656, 820, 1640 and 3280
- And hence, 3280 is not the prime number.
Multiple Choice Questions:
1) 3280 is a
a) Prime number
b) Even number
c) Composite number
d) Both b and c
Ans: d) both b and c
2) The prime factors of a composite number 3280 are
a) 3280
b) 2, 5, 41
c) 4, 8, 10, 16, 20, 40, 80, 82, 164, 205, 328, 410, 656, 820, 1640 and 3280
d) 1, 2, 4, 5, 8, 10, 16, 20, 40, 41, 80, 82, 164, 205, 328, 410, 656, 820, 1640 and 3280
Ans: b) 2, 5, 41
3) 3280 is composite number because
a) It has factors 1, 2, 4, 5, 8, 10, 16, 20, 40, 41, 80, 82, 164, 205, 328, 410, 656, 820, 1640 and 3280
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) It has factors 1, 2, 4, 5, 8, 10, 16, 20, 40, 41, 80, 82, 164, 205, 328, 410, 656, 820, 1640 and 3280