Is 4400 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 4400 is composite or not first we have to find its factors.
Factors of 4400:
- If we have taken numbers from 1, 2, 3…for checking factors of 4400 we found that 4400 has factors 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 176, 200, 220, 275, 400, 440, 550, 880, 1100, 2200 and 4400. Hence, we must say that 4400 is a composite number.
- Thus, 4400 is the composite number.
- If we multiply 4400 by 1, 2, 3 then we get the multiples of 4400 which are 4400, 8800 and so on.
About the number 4400:
- 4400 has more than two factors which are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 176, 200, 220, 275, 400, 440, 550, 880, 1100, 2200 and 4400 and hence it is the composite number.
- 4400 is the even composite number and it is not the perfect square also.
- If we divide 4400 by, 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 176, 200, 220, 275, 400, 440, 550, 880, 1100, 2200 and 4400 then we get remainder as zero. Hence, 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 176, 200, 220, 275, 400, 440, 550, 880, 1100, 2200 and 4400 are the factors of 4400.
Note:
- 4400 is not the perfect square.
- Factors of 4400: 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 176, 200, 220, 275, 400, 440, 550, 880, 1100, 2200 and 4400
- Prime factors of 4400: 2, 5, 11
Conclusion:
- 4400 is the composite number which has factors, 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 176, 200, 220, 275, 400, 440, 550, 880, 1100, 2200 and 4400
- And hence, 4400 is not the prime number.
Multiple Choice Questions:
1) 4400 is a
a) Prime number
b) Even number
c) Composite number
d) Both b and c
Ans: d) both b and c
2) The composite factors of a composite number 4400 are
a) 4400
b) 2, 5, 11
c) 4, 8, 10, 16, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 176, 200, 220, 275, 400, 440, 550, 880, 1100, 2200 and 4400
d) 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 176, 200, 220, 275, 400, 440, 550, 880, 1100, 2200 and 4400
Ans: c) 4, 8, 10, 16, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 176, 200, 220, 275, 400, 440, 550, 880, 1100, 2200 and 4400
3) 4400 is composite number because
a) It has factors 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 176, 200, 220, 275, 400, 440, 550, 880, 1100, 2200 and 4400
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b