Is 2408 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 2408 is composite or not first we have to find its factors.
Contents
Factors of 2408:
- If we have taken numbers from 1, 2, 3…for checking factors of 2408, we found that 2408 has factors 1, 2, 4, 7, 8, 14, 28, 43, 56, 86, 172, 301, 344, 602, 1204 and 2408. Hence, we must say that 2408 is a composite number.
- Thus, 2408 is the composite number.
- If we multiply 2408 by 1, 2, 3 then we get the multiples of 2408 which are 2408, 4816 and so on.
About the number 2408:
- 2408 has more than two factors which are 1, 2, 4, 7, 8, 14, 28, 43, 56, 86, 172, 301, 344, 602, 1204 and 2408 and hence it is the composite number.
- 2408 is the even composite number and it is not the perfect square also.
- If we divide 2408 by, 1, 2, 4, 7, 8, 14, 28, 43, 56, 86, 172, 301, 344, 602, 1204 and 2408 then we get remainder as zero. Hence, 1, 2, 4, 7, 8, 14, 28, 43, 56, 86, 172, 301, 344, 602, 1204 and 2408 are the factors of 2408.
Note:
- 2408 is not the perfect square.
- Factors of 2408: 1, 2, 4, 7, 8, 14, 28, 43, 56, 86, 172, 301, 344, 602, 1204 and 2408
- Prime factors of 2408: 2, 7, 43
Conclusion:
- 2408 is the composite number which has factors 1, 2, 4, 7, 8, 14, 28, 43, 56, 86, 172, 301, 344, 602, 1204 and 2408
- And hence, 2408 is not the prime number.
Multiple Choice Questions:
1) 2408 is a
a) Even number
b) Odd number
c) Composite number
d) Both a and c
Ans: d) both a and d
2) The prime factors of a composite number 2408 are
a) 2408
b) 2, 7, 43
c) 1, 4, 8, 14, 28, 56, 86, 172, 301, 344, 602, 1204 and 2408
d) 1, 2, 4, 7, 8, 14, 28, 43, 56, 86, 172, 301, 344, 602, 1204 and 2408
Ans: b) 2, 7, 43
3) 2408 is composite number because
a) It has factors 1, 2, 4, 7, 8, 14, 28, 43, 56, 86, 172, 301, 344, 602, 1204 and 2408
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b