Is 1856 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 1856 is composite or not first we have to find its factors.
Contents
Factors of 1856:
- If we have taken numbers from 1, 2, 3…for checking factors of 1856, we found that 1856 has factors 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 232, 464, 928 and 1856. Hence, we must say that 1856 is a composite number.
- Thus, 1856 is the composite number.
- If we multiply 1856 by 1, 2, 3 then we get the multiples of 1856 which are 1856, 3712 and so on.
About the number 1856:
- 1856 has more than two factors which are 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 232, 464, 928 and 1856 and hence it is the composite number.
- 1856 is the even composite number and it is not the perfect square also.
- If we divide 1856 by, 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 232, 464, 928 and 1856 then we get remainder as zero. Hence, 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 232, 464, 928 and 1856 are the factors of 1856.
Note:
- 1856 is not the perfect square.
- Factors of 1856: 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 232, 464, 928 and 1856
- Prime factors of 1856: 2, 29
Conclusion:
- 1856 is the composite number which has factors 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 232, 464, 928 and 1856
- And hence, 1856 is not the prime number.
Multiple Choice Questions:
1) 1856 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 1856 are
a) 1856
b) 2, 29
c) 1, 4, 8, 16, 32, 58, 64, 116, 232, 464, 928 and 1856
d) 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 232, 464, 928 and 1856
Ans: c) 1, 4, 8, 16, 32, 58, 64, 116, 232, 464, 928 and 1856
3) 1856 is composite number because
a) It has factors 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 232, 464, 928 and 1856
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) it has factors 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 232, 464, 928 and 1856