Is 3406 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 3406 is composite or not first we have to find its factors.
Contents
Factors of 3406:
- If we have taken numbers from 1, 2, 3…for checking factors of 3406, we found that 3406 has factors 1, 2, 13, 26, 131, 262, 1703 and 3406. Hence, we must say that 3406 is a composite number.
- Thus, 3406 is the composite number.
- If we multiply 3406 by 1, 2, 3 then we get the multiples of 3406 which are 3406, 6812 and so on.
About the number 3406:
- 3406 has more than two factors which are 1, 2, 13, 26, 131, 262, 1703 and 3406 and hence it is the composite number.
- 3406 is the even composite number and it is not the perfect square also.
- If we divide 3406 by, 1, 2, 13, 26, 131, 262, 1703 and 3406 then we get remainder as zero. Hence, 1, 2, 13, 26, 131, 262, 1703 and 3406 are the factors of 3406.
Note:
- 3406 is not the perfect square.
- Factors of 3406: 1, 2, 13, 26, 131, 262, 1703 and 3406
- Prime factors of 3406: 2, 13, 131
Conclusion:
- 3406 is the composite number which has factors, 1, 2, 13, 26, 131, 262, 1703 and 3406
- And hence, 3406 is not the prime number.
Multiple Choice Questions:
1) 3406 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 3406 are
a) 3406
b) 2, 13, 131
c) 26, 262, 1703 and 3406
d) 1, 2, 13, 26, 131, 262, 1703 and 3406
Ans: b) 2, 13, 131
3) 3406 is even composite number because
a) It has factors 1, 2, 13, 26, 131, 262, 1703 and 3406
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all