Is 1791 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 1791 is composite or not first we have to find its factors.
Contents
Factors of 1791:
- If we have taken numbers from 1, 2, 3…for checking factors of 1791, we found that 1791 has factors 1, 3, 9, 199, 597 and 1791. Hence, we must say that 1791 is a composite number.
- Thus, 1791 is the composite number.
- If we multiply 1791 by 1, 2, 3 then we get the multiples of 1791 which are 1791, 3582 and so on.
1791 is a Composite number or Prime number
About the number 1791:
- 1791 has more than two factors which are 1, 3, 9, 199, 597 and 1791 and hence it is the composite number.
- 1791 is the odd composite number and it is not the perfect square also.
- If we divide 1791 by 1, 3, 9, 199, 597 and 1791 then we get remainder as zero. Hence, 1, 3, 9, 199, 597 and 1791 are the factors of 1791
Note:
- 1791 is not the perfect square.
- Factors of 1791: 1, 3, 9, 199, 597 and 1791
- Prime factors of 1791: 3, 199
Conclusion:
- 1791 is the composite number which has factors 1, 3, 9, 199, 597 and 1791.
- And hence, 1791 is not the prime number.
Multiple Choice Questions:
1) 1791 is a
a) Even number
b) Prime number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The non-prime factors of a composite number 1791 are
a) 1
b) 3, 199
c) 1, 9, 597 and 1791
d) 1, 3, 9, 199, 597 and 1791
Ans: b) 1, 9, 597 and 1791
3) 1791 is the odd composite number because
a) It has factors 1, 3, 9, 199, 597 and 1791
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all