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