Is 1288 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 1288 is composite or not first we have to find its factors.
Contents
Factors of 1288:
- If we have taken numbers from 1, 2, 3…for checking factors of 1288, we found that 1288 has factors 1, 2, 4, 7, 8, 14, 23, 28, 46, 56, 92, 161, 184, 322, 644 and 1288. Hence, we must say that 1288 is a composite number.
- Thus, 1288 is the composite number.
- If we multiply 1288 by 1, 2, 3 then we get the multiples of 1288 which are 1288, 2576 and so on.
About the number 1288:
- 1288 has more than two factors which are 1, 2, 4, 7, 8, 14, 23, 28, 46, 56, 92, 161, 184, 322, 644 and 1288 and hence it is the composite number.
- 1288 is the even composite number and it is not the perfect square also.
- If we divide 1288 by 1, 2, 4, 7, 8, 14, 23, 28, 46, 56, 92, 161, 184, 322, 644 and 1288 then we get remainder as zero. Hence, 1, 2, 4, 7, 8, 14, 23, 28, 46, 56, 92, 161, 184, 322, 644 and 1288 are the factors of 1288.
Note:
- 1288 is not the perfect square.
- Factors of 1288: 1, 2, 4, 7, 8, 14, 23, 28, 46, 56, 92, 161, 184, 322, 644 and 1288
- Prime factors of 1288: 2, 7, 23
Conclusion:
- 1288 is the composite number which has factors 1, 2, 4, 7, 8, 14, 23, 28, 46, 56, 92, 161, 184, 322, 644 and 1288
- And hence, 1288 is not the prime number.
Multiple Choice Questions:
1) 1288 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 1288 are
a) 4, 8, 14, 28, 46, 56, 92, 161, 184, 322, 644 and 1288
b) 2, 7, 23
c) 1, 4, 8, 14, 28, 46, 56, 92, 161, 184, 322, 644 and 1288
d) 1, 2, 4, 7, 8, 14, 23, 28, 46, 56, 92, 161, 184, 322, 644 and 1288
Ans: a) 4, 8, 14, 28, 46, 56, 92, 161, 184, 322, 644 and 1288
3) 1288 is composite number because
a) It has factors 1, 2, 4, 7, 8, 14, 23, 28, 46, 56, 92, 161, 184, 322, 644 and 1288
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b