Is 492 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 492 is composite or not first we have to find its factors.
Contents
Factors of 492:
- If we have taken numbers from 1, 2, 3…for checking factors of 492, we found that 492 has factors 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246 and 492. Hence, we must say that 492 is a composite number.
- Thus, 492 is the composite umber.
- If we multiply 492 by 1, 2, 3 then we get the multiples of 492 which are 492, 984 and so on.
About the number 492:
- 492 has more than two factors which are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246 and 492 and hence it is the composite number.
- 492 is the even composite number and it is not the perfect square also.
- If we divide 492 by 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246 and 492 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246 and 492 are the factors of 492.
Note:
- 492 is not the perfect square.
- Factors of 492: 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246 and 492
- Prime factors of 492: 2, 3, 41
Conclusion:
- 492 is the composite number which has factors 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246 and 492
- And hence, 492 is not the prime number.
Multiple Choice Questions:
1) 492 is a
a) Prime number
b) Even number
c) Composite number
d) Both b and c
Ans: d) both b and c
2) The prime factors of a composite number 492 are
a) 1
b) 2, 3, 41
c) 1, 4, 6, 12, 82, 123, 164, 246 and 492
d) 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246 and 492
Ans: b) 2, 3, 41
3) 492 is the even composite number because
a) It has two factors
b) More than two factors
c) Divisible by 2
d) Both b and c
Ans: d) both b and c