Is 1743 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 1743 is composite or not first we have to find its factors.
Contents
Factors of 1743:
- If we have taken numbers from 1, 2, 3…for checking factors of 1743, we found that 1743 has factors 1, 3, 7, 21, 83, 249, 581 and 1743. Hence, we must say that 1743 is a composite number.
- Thus, 1743 is the composite number.
- If we multiply 1743 by 1, 2, 3 then we get the multiples of 1743 which are 1743, 3486 and so on.
1743 is a Composite number or Prime number
About the number 1743:
- 1743 has more than two factors which are 1, 3, 7, 21, 83, 249, 581 and 1743 and hence it is the composite number.
- 1743 is the odd composite number and it is not the perfect square also.
- If we divide 1743 by 1, 3, 7, 21, 83, 249, 581 and 1743 then we get remainder as zero. Hence, 1, 3, 7, 21, 83, 249, 581 and 1743 are the factors of 1743
Note:
- 1743 is not the perfect square.
- Factors of 1743: 1, 3, 7, 21, 83, 249, 581 and 1743
- Prime factors of 1743: 3, 7, 83
Conclusion:
- 1743 is the composite number which has factors 1, 3, 7, 21, 83, 249, 581 and 1743.
- And hence, 1743 is not the prime number.
Multiple Choice Questions:
1) 1743 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 1743 are
a) 1
b) 3, 7, 83
c) 1, 21, 249, 581 and 1743
d) 1, 3, 7, 21, 83, 249, 581 and 1743
Ans: b) 1, 21, 249, 581 and 1743
3) 1743 is the odd composite number because
a) It has factors 1, 3, 7, 21, 83, 249, 581 and 1743
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all