Is 406 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 406 is composite or not first we have to find its factors.
Contents
Factors of 406:
- If we have taken numbers from 1, 2, 3…for checking factors of 406, we found that 406 has factors 1, 2, 7, 14 29, 58, 203 and 406. Hence, we must say that 406 is a composite number.
- Thus, 406 is the composite umber.
- If we multiply 406 by 1, 2, 3 then we get the multiples of 406 which are 406, 812 and so on.
About the number 406:
- 406 has more than two factors which are 1, 2, 7, 14 29, 58, 203 and 406 and hence it is the composite number.
- 406 is the even composite number and it is not the perfect square also.
- If we divide 406 by 1, 2, 7, 14 29, 58, 203 and 406 then we get remainder as zero. Hence, 1, 2, 7, 14 29, 58, 203 and 406 are the factors of 406.
Note:
- 406 is not the perfect square.
- Factors of 406: 1, 2, 7, 14 29, 58, 203 and 406
- Prime factors of 406: 2, 7, 29
Conclusion:
- 406 is the composite number which has factors 1, 2, 7, 14 29, 58, 203 and 406
- And hence, 406 is not the prime number.
Multiple Choice Questions:
1) 406 is a
a) Prime number
b) Odd number
c) Composite number
d) Both b and c
Ans: c) composite number
2) The non-prime factors of a composite number 406 are
a) 2
b) 2, 7, 29
c) 1, 14, 58, 203 and 406
d) 1, 2, 7, 14 29, 58, 203 and 406
Ans: c) 1, 14, 58, 203 and 406
3) 406 is the composite number because
a) It has two factors
b) More than two factors
c) Divisible by 2
d) Both b and c
Ans: b) more than two factors