Is 1729 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 1729 is composite or not first we have to find its factors.
Contents
Factors of 1729:
- If we have taken numbers from 1, 2, 3…for checking factors of 1729, we found that 1729 has factors 1, 7, 13, 19, 91, 133, 247 and 1729. Hence, we must say that 1729 is a composite number.
- Thus, 1729 is the composite number.
- If we multiply 1729 by 1, 2, 3 then we get the multiples of 1729 which are 1729, 3458 and so on.
1729 is a Composite number or Prime number
About the number 1729:
- 1729 has more than two factors which are 1, 7, 13, 19, 91, 133, 247 and 1729 and hence it is the composite number.
- 1729 is the odd composite number and it is not the perfect square also.
- If we divide 1729 by 1, 7, 13, 19, 91, 133, 247 and 1729 then we get remainder as zero. Hence, 1, 7, 13, 19, 91, 133, 247 and 1729 are the factors of 1729
Note:
- 1729 is not the perfect square.
- Factors of 1729: 1, 7, 13, 19, 91, 133, 247 and 1729
- Prime factors of 1729: 7, 13, 19
Conclusion:
- 1729 is the composite number which has factors 1, 7, 13, 19, 91, 133, 247 and 1729.
- And hence, 1729 is not the prime number.
Multiple Choice Questions:
1) 1729 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 1729 are
a) 1
b) 7, 13, 19
c) 1, 91, 133, 247 and 1729
d) 1, 7, 13, 19, 91, 133, 247 and 1729
Ans: b) 1, 91, 133, 247 and 1729
3) 1729 is the odd composite number because
a) It has factors 1, 7, 13, 19, 91, 133, 247 and 1729
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all