Is 1701 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 1701 is composite or not first we have to find its factors.
Contents
Factors of 1701:
- If we have taken numbers from 1, 2, 3…for checking factors of 1701, we found that 1701 has factors 1, 3, 7, 9, 21, 27, 63, 81, 189, 243, 567 and 1701. Hence, we must say that 1701 is a composite number.
- Thus, 1701 is the composite number.
- If we multiply 1701 by 1, 2, 3 then we get the multiples of 1701 which are 1701, 3402 and so on.
1701 is a Composite number or Prime number
About the number 1701:
- 1701 has more than two factors which are 1, 3, 7, 9, 21, 27, 63, 81, 189, 243, 567 and 1701 and hence it is the composite number.
- 1701 is the odd composite number and it is not the perfect square also.
- If we divide 1701 by 1, 3, 7, 9, 21, 27, 63, 81, 189, 243, 567 and 1701 then we get remainder as zero. Hence, 1, 3, 7, 9, 21, 27, 63, 81, 189, 243, 567 and 1701 are the factors of 1701
Note:
- 1701 is not the perfect square.
- Factors of 1701: 1, 3, 7, 9, 21, 27, 63, 81, 189, 243, 567 and 1701
- Prime factors of 1701: 3, 7
Conclusion:
- 1701 is the composite number which has factors 1, 3, 7, 9, 21, 27, 63, 81, 189, 243, 567 and 1701.
- And hence, 1701 is not the prime number.
Multiple Choice Questions:
1) 1701 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 1701 are
a) 1
b) 3, 7
c) 1, 9, 21, 27, 63, 81, 189, 243, 567 and 1701
d) 1, 3, 7, 9, 21, 27, 63, 81, 189, 243, 567 and 1701
Ans: b) 1, 9, 21, 27, 63, 81, 189, 243, 567 and 1701
3) 1701 is the odd composite number because
a) It has factors 1, 3, 7, 9, 21, 27, 63, 81, 189, 243, 567 and 1701
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all