Is 2208 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 2208 is composite or not first we have to find its factors.
Factors of 2208:
- If we have taken numbers from 1, 2, 3…for checking factors of 2208, we found that 2208 has factors 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 69, 92, 96, 138, 184, 276, 368, 552, 736, 1104 and 2208. Hence, we must say that 2208 is a composite number.
- Thus, 2208 is the composite number.
- If we multiply 2208 by 1, 2, 3 then we get the multiples of 2208 which are 2208, 4416 and so on.
About the number 2208:
- 2208 has more than two factors which are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 69, 92, 96, 138, 184, 276, 368, 552, 736, 1104 and 2208 and hence it is the composite number.
- 2208 is the even composite number and it is not the perfect square also.
- If we divide 2208 by, 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 69, 92, 96, 138, 184, 276, 368, 552, 736, 1104 and 2208 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 69, 92, 96, 138, 184, 276, 368, 552, 736, 1104 and 2208 are the factors of 2208.
Note:
- 2208 is not the perfect square.
- Factors of 2208: 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 69, 92, 96, 138, 184, 276, 368, 552, 736, 1104 and 2208
- Prime factors of 2208: 2, 3, 23
Conclusion:
- 2208 is the composite number which has factors 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 69, 92, 96, 138, 184, 276, 368, 552, 736, 1104 and 2208
- And hence, 2208 is not the prime number.
Multiple Choice Questions:
1) 2208 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 2208 are
a) 2208
b) 2, 3, 23
c) 1, 4, 6, 8, 12, 16, 24, 32, 46, 48, 69, 92, 96, 138, 184, 276, 368, 552, 736, 1104 and 2208
d) 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 69, 92, 96, 138, 184, 276, 368, 552, 736, 1104 and 2208
Ans: c) 1, 4, 6, 8, 12, 16, 24, 32, 46, 48, 69, 92, 96, 138, 184, 276, 368, 552, 736, 1104 and 2208
3) 2208 is composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 69, 92, 96, 138, 184, 276, 368, 552, 736, 1104 and 2208
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) it has factors 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 69, 92, 96, 138, 184, 276, 368, 552, 736, 1104 and 2208