Is 2204 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 2204 is composite or not first we have to find its factors.
Contents
Factors of 2204:
- If we have taken numbers from 1, 2, 3…for checking factors of 2204, we found that 2204 has factors 1, 2, 4, 19, 29, 38, 58, 76, 116, 551, 1102 and 2204. Hence, we must say that 2204 is a composite number.
- Thus, 2204 is the composite number.
- If we multiply 2204 by 1, 2, 3 then we get the multiples of 2204 which are 2204, 4408 and so on.
About the number 2204:
- 2204 has more than two factors which are 1, 2, 4, 19, 29, 38, 58, 76, 116, 551, 1102 and 2204 and hence it is the composite number.
- 2204 is the even composite number and it is not the perfect square also.
- If we divide 2204 by, 1, 2, 4, 19, 29, 38, 58, 76, 116, 551, 1102 and 2204 then we get remainder as zero. Hence, 1, 2, 4, 19, 29, 38, 58, 76, 116, 551, 1102 and 2204 are the factors of 2204.
Note:
- 2204 is not the perfect square.
- Factors of 2204: 1, 2, 4, 19, 29, 38, 58, 76, 116, 551, 1102 and 2204
- Prime factors of 2204: 2, 19, 29
Conclusion:
- 2204 is the composite number which has factors 1, 2, 4, 19, 29, 38, 58, 76, 116, 551, 1102 and 2204
- And hence, 2204 is not the prime number.
Multiple Choice Questions:
1) 2204 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 2204 are
a) 2204
b) 2, 19, 29
c) 1, 4, 38, 58, 76, 116, 551, 1102 and 2204
d) 1, 2, 4, 19, 29, 38, 58, 76, 116, 551, 1102 and 2204
Ans: c) 1, 4, 38, 58, 76, 116, 551, 1102 and 2204
3) 2204 is composite number because
a) It has factors 1, 2, 4, 19, 29, 38, 58, 76, 116, 551, 1102 and 2204
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) it has factors 1, 2, 4, 19, 29, 38, 58, 76, 116, 551, 1102 and 2204