Is 3492 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 3492 is composite or not first we have to find its factors.
Contents
Factors of 3492:
- If we have taken numbers from 1, 2, 3…for checking factors of 3492, we found that 3492 has factors 1, 2, 3, 4, 6, 9, 12, 18, 36, 97, 194, 291, 388, 582, 873, 1164, 1746 and 3492. Hence, we must say that 3492 is a composite number.
- Thus, 3492 is the composite number.
- If we multiply 3492 by 1, 2, 3 then we get the multiples of 3492 which are 3492, 6984 and so on.
About the number 3492:
- 3492 has more than two factors which are 1, 2, 3, 4, 6, 9, 12, 18, 36, 97, 194, 291, 388, 582, 873, 1164, 1746 and 3492 and hence it is the composite number.
- 3492 is the even composite number and it is not the perfect square also.
- If we divide 3492 by, 1, 2, 3, 4, 6, 9, 12, 18, 36, 97, 194, 291, 388, 582, 873, 1164, 1746 and 3492 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 9, 12, 18, 36, 97, 194, 291, 388, 582, 873, 1164, 1746 and 3492 are the factors of 3492.
Note:
- 3492 is not the perfect square.
- Factors of 3492: 1, 2, 3, 4, 6, 9, 12, 18, 36, 97, 194, 291, 388, 582, 873, 1164, 1746 and 3492
- Prime factors of 3492: 2, 3, 97
Conclusion:
- 3492 is the composite number which has factors, 1, 2, 3, 4, 6, 9, 12, 18, 36, 97, 194, 291, 388, 582, 873, 1164, 1746 and 3492
- And hence, 3492 is not the prime number.
Multiple Choice Questions:
1) 3492 is a
a) Prime number
b) Odd number
c) Composite number
d) Both b and c
Ans: c) composite number
2) The prime factors of a composite number 3492 are
a) 3492
b) 2, 3, 97
c) 4, 6, 9, 12, 18, 36, 194, 291, 388, 582, 873, 1164, 1746 and 3492
d) 1, 2, 3, 4, 6, 9, 12, 18, 36, 97, 194, 291, 388, 582, 873, 1164, 1746 and 3492
Ans: b) 2, 3, 97
3) 3492 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 9, 12, 18, 36, 97, 194, 291, 388, 582, 873, 1164, 1746 and 3492
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all