Is 1792 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 1792 is composite or not first we have to find its factors.
Contents
Factors of 1792:
- If we have taken numbers from 1, 2, 3…for checking factors of 1792, we found that 1792 has factors 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 896 and 1792. Hence, we must say that 1792 is a composite number.
- Thus, 1792 is the composite number.
- If we multiply 1792 by 1, 2, 3 then we get the multiples of 1792 which are 1792, 3584 and so on.
About the number 1792:
- 1792 has more than two factors which are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 896 and 1792 and hence it is the composite number.
- 1792 is the even composite number and it is not the perfect square also.
- If we divide 1792 by, 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 896 and 1792 then we get remainder as zero. Hence, 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 896 and 1792 are the factors of 1792.
Note:
- 1792 is not the perfect square.
- Factors of 1792: 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 896 and 1792
- Prime factors of 1792: 2, 7
Conclusion:
- 1792 is the composite number which has factors 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 896 and 1792
- And hence, 1792 is not the prime number.
Multiple Choice Questions:
1) 1792 is a
a) Prime number
b) Odd number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The non-prime factors of a composite number 1792 are
a) 1792
b) 2, 7
c) 1, 4, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 896 and 1792
d) 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 896 and 1792
Ans: c) 1, 4, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 896 and 1792
3) 1792 is composite number because
a) It has factors 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 896 and 1792
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) it has factors 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 896 and 1792