Is 1461 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 1461 is composite or not first we have to find its factors.
Contents
Factors of 1461:
- If we have taken numbers from 1, 2, 3…for checking factors of 1461, we found that 1461 has factors 1, 3, 487 and 1461. Hence, we must say that 1461 is a composite number.
- Thus, 1461 is the composite number.
- If we multiply 1461 by 1, 2, 3 then we get the multiples of 1461 which are 1461, 2922 and so on.
1461 is a Composite number or Prime number
About the number 1461:
- 1461 has more than two factors which are 1, 3, 487 and 1461 and hence it is the composite number.
- 1461 is the odd composite number and it is not the perfect square also.
- If we divide 1461 by 1, 3, 487 and 1461 then we get remainder as zero. Hence, 1, 3, 487 and 1461 are the factors of 1461
Note:
- 1461 is not the perfect square.
- Factors of 1461: 1, 3, 487 and 1461
- Prime factors of 1461: 3, 487
Conclusion:
- 1461 is the composite number which has factors 1, 3, 487 and 1461.
- And hence, 1461 is not the prime number.
Multiple Choice Questions:
1) 1461 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 1461 are
a) 1
b) 3, 487
c) 1 and 1461
d) 1, 3, 487 and 1461
Ans: b) 1 and 1461
3) 1461 is the odd composite number because
a) It has factors 1, 3, 487 and 1461
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all