Is 1600 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 1600 is composite or not first we have to find its factors.
Contents
Factors of 1600:
- If we have taken numbers from 1, 2, 3…for checking factors of 1600, we found that 1600 has factors 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160, 200, 320, 400, 800 and 1600. Hence, we must say that 1600 is a composite number.
- Thus, 1600 is the composite number.
- If we multiply 1600 by 1, 2, 3 then we get the multiples of 1600 which are 1600, 3200 and so on.
About the number 1600:
- 1600 has more than two factors which are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160, 200, 320, 400, 800 and 1600 and hence it is the composite number.
- 1600 is the even composite number and it is the perfect square also.
- If we divide 1600 by 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160, 200, 320, 400, 800 and 1600 then we get remainder as zero. Hence, 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160, 200, 320, 400, 800 and 1600 are the factors of 1600.
Note:
- 1600 is the perfect square.
- Factors of 1600: 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160, 200, 320, 400, 800 and 1600
- Prime factors of 1600: 2, 5
Conclusion:
- 1600 is the composite number which has factors 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160, 200, 320, 400, 800 and 1600
- And hence, 1600 is not the prime number.
Multiple Choice Questions:
1) 1600 is a
a) Even number
b) Odd number
c) Composite number
d) Both a and c
Ans: d) both a and c
2) The prime factors of a composite number 1600 are
a) 1600
b) 2, 5
c) 1, 4, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160, 200, 320, 400, 800 and 1600
d) 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160, 200, 320, 400, 800 and 1600
Ans: b) 2, 5
3) 1600 is even composite number because
a) It has factors 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160, 200, 320, 400, 800 and 1600
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all