Is 1761 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 1761 is composite or not first we have to find its factors.
Contents
Factors of 1761:
- If we have taken numbers from 1, 2, 3…for checking factors of 1761, we found that 1761 has factors 1, 3, 587 and 1761. Hence, we must say that 1761 is a composite number.
- Thus, 1761 is the composite number.
- If we multiply 1761 by 1, 2, 3 then we get the multiples of 1761 which are 1761, 3522 and so on.
1761 is a Composite number or Prime number
About the number 1761:
- 1761 has more than two factors which are 1, 3, 587 and 1761 and hence it is the composite number.
- 1761 is the odd composite number and it is not the perfect square also.
- If we divide 1761 by 1, 3, 587 and 1761 then we get remainder as zero. Hence, 1, 3, 587 and 1761 are the factors of 1761
Note:
- 1761 is not the perfect square.
- Factors of 1761: 1, 3, 587 and 1761
- Prime factors of 1761: 3, 587
Conclusion:
- 1761 is the composite number which has factors 1, 3, 587 and 1761.
- And hence, 1761 is not the prime number.
Multiple Choice Questions:
1) 1761 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 1761 are
a) 1
b) 3, 587
c) 1 and 1761
d) 1, 3, 587 and 1761
Ans: b) 1 and 1761
3) 1761 is the odd composite number because
a) It has factors 1, 3, 587 and 1761
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all
1761