Is 1749 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 1749 is composite or not first we have to find its factors.
Contents
Factors of 1749:
- If we have taken numbers from 1, 2, 3…for checking factors of 1749, we found that 1749 has factors 1, 3, 11, 33, 53, 159, 583 and 1749. Hence, we must say that 1749 is a composite number.
- Thus, 1749 is the composite number.
- If we multiply 1749 by 1, 2, 3 then we get the multiples of 1749 which are 1749, 3498 and so on.
1749 is a Composite number or Prime number
About the number 1749:
- 1749 has more than two factors which are 1, 3, 11, 33, 53, 159, 583 and 1749 and hence it is the composite number.
- 1749 is the odd composite number and it is not the perfect square also.
- If we divide 1749 by 1, 3, 11, 33, 53, 159, 583 and 1749 then we get remainder as zero. Hence, 1, 3, 11, 33, 53, 159, 583 and 1749 are the factors of 1749
Note:
- 1749 is not the perfect square.
- Factors of 1749: 1, 3, 11, 33, 53, 159, 583 and 1749
- Prime factors of 1749: 3, 11, 53
Conclusion:
- 1749 is the composite number which has factors 1, 3, 11, 33, 53, 159, 583 and 1749.
- And hence, 1749 is not the prime number.
Multiple Choice Questions:
1) 1749 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 1749 are
a) 1
b) 3, 11, 53
c) 1, 33, 159, 583 and 1749
d) 1, 3, 11, 33, 53, 159, 583 and 1749
Ans: b) 1, 33, 159, 583 and 1749
3) 1749 is the odd composite number because
a) It has factors 1, 3, 11, 33, 53, 159, 583 and 1749
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all