Is 4208 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 4208 is composite or not first we have to find its factors.
Contents
Factors of 4208:
- If we have taken numbers from 1, 2, 3…for checking factors of 4208 we found that 4208 has factors 1, 2, 4, 8, 16, 263, 526, 1052, 2104 and 4208. Hence, we must say that 4208 is a composite number.
- Thus, 4208 is the composite number.
- If we multiply 4208 by 1, 2, 3 then we get the multiples of 4208 which are 4208, 8416 and so on.
About the number 4208:
- 4208 has more than two factors which are 1, 2, 4, 8, 16, 263, 526, 1052, 2104 and 4208 and hence it is the composite number.
- 4208 is the even composite number and it is not the perfect square also.
- If we divide 4208 by, 1, 2, 4, 8, 16, 263, 526, 1052, 2104 and 4208 then we get remainder as zero. Hence, 1, 2, 4, 8, 16, 263, 526, 1052, 2104 and 4208 are the factors of 4208.
Note:
- 4208 is not the perfect square.
- Factors of 4208: 1, 2, 4, 8, 16, 263, 526, 1052, 2104 and 4208
- Prime factors of 4208: 2, 263
Conclusion:
- 4208 is the composite number which has factors, 1, 2, 4, 8, 16, 263, 526, 1052, 2104 and 4208
- And hence, 4208 is not the prime number.
Multiple Choice Questions:
1) 4208 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 4208 are
a) 4208
b) 2, 263
c) 4, 8, 16, 526, 1052, 2104 and 4208
d) 1, 2, 4, 8, 16, 263, 526, 1052, 2104 and 4208
Ans: c) 4, 8, 16, 526, 1052, 2104 and 4208
3) 4208 is composite number because
a) It has factors 1, 2, 4, 8, 16, 263, 526, 1052, 2104 and 4208
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b