Is 2800 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 2800 is composite or not first we have to find its factors.
Factors of 2800:
- If we have taken numbers from 1, 2, 3…for checking factors of 2800, we found that 2800 has factors 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 50, 56, 70, 80, 100, 112, 140, 175, 200, 280, 350, 400, 560, 700, 1400 and 2800. Hence, we must say that 2800 is a composite number.
- Thus, 2800 is the composite number.
- If we multiply 2800 by 1, 2, 3 then we get the multiples of 2800 which are 2800, 5600 and so on.
About the number 2800:
- 2800 has more than two factors which are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 50, 56, 70, 80, 100, 112, 140, 175, 200, 280, 350, 400, 560, 700, 1400 and 2800 and hence it is the composite number.
- 2800 is the even composite number and it is not the perfect square also.
- If we divide 2800 by, 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 50, 56, 70, 80, 100, 112, 140, 175, 200, 280, 350, 400, 560, 700, 1400 and 2800 then we get remainder as zero. Hence, 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 50, 56, 70, 80, 100, 112, 140, 175, 200, 280, 350, 400, 560, 700, 1400 and 2800 are the factors of 2800.
Note:
- 2800 is not the perfect square.
- Factors of 2800: 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 50, 56, 70, 80, 100, 112, 140, 175, 200, 280, 350, 400, 560, 700, 1400 and 2800
- Prime factors of 2800: 2, 5, 7
Conclusion:
- 2800 is the composite number which has factors, 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 50, 56, 70, 80, 100, 112, 140, 175, 200, 280, 350, 400, 560, 700, 1400 and 2800
- And hence, 2800 is not the prime number.
Multiple Choice Questions:
1) 2800 is a
a) Prime number
b) Odd number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The composite factors of a composite number 2800 are
a) 2800
b) 2, 5, 7
c) 4, 8, 10, 14, 16, 20, 25, 28, 35, 40, 50, 56, 70, 80, 100, 112, 140, 175, 200, 280, 350, 400, 560, 700, 1400 and 2800
d) 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 50, 56, 70, 80, 100, 112, 140, 175, 200, 280, 350, 400, 560, 700, 1400 and 2800
Ans: c) 4, 8, 10, 14, 16, 20, 25, 28, 35, 40, 50, 56, 70, 80, 100, 112, 140, 175, 200, 280, 350, 400, 560, 700, 1400 and 2800
3) 2800 is even composite number because
a) It has factors 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 50, 56, 70, 80, 100, 112, 140, 175, 200, 280, 350, 400, 560, 700, 1400 and 2800
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c