Is 1408 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 1408 is composite or not first we have to find its factors.
Contents
Factors of 1408:
- If we have taken numbers from 1, 2, 3…for checking factors of 1408, we found that 1408 has factors 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 352, 704 and 1408. Hence, we must say that 1408 is a composite number.
- Thus, 1408 is the composite number.
- If we multiply 1408 by 1, 2, 3 then we get the multiples of 1408 which are 1408, 2816 and so on.
About the number 1408:
- 1408 has more than two factors which are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 352, 704 and 1408 and hence it is the composite number.
- 1408 is the even composite number and it is not the perfect square also.
- If we divide 1408 by 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 352, 704 and 1408 then we get remainder as zero. Hence, 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 352, 704 and 1408 are the factors of 1408.
Note:
- 1408 is not the perfect square.
- Factors of 1408: 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 352, 704 and 1408
- Prime factors of 1408: 2, 11
Conclusion:
- 1408 is the composite number which has factors 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 352, 704 and 1408
- And hence, 1408 is not the prime number.
Multiple Choice Questions:
1) 1408 is a
a) Even number
b) Not a perfect square number
c) Composite number
d) all
Ans: d) all
2) The composite factors of a composite number 1408 are
a) 4, 8, 16, 22, 32, 44, 64, 88, 128, 176, 352, 704 and 1408
b) 2, 11
c) 1, 4, 8, 16, 22, 32, 44, 64, 88, 128, 176, 352, 704 and 1408
d) 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 352, 704 and 1408
Ans: a) 4, 8, 16, 22, 32, 44, 64, 88, 128, 176, 352, 704 and 1408
3) 1408 is composite number because
a) It has factors 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 352, 704 and 1408
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b