Is 3404 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 3404 is composite or not first we have to find its factors.
Contents
Factors of 3404:
- If we have taken numbers from 1, 2, 3…for checking factors of 3404, we found that 3404 has factors 1, 2, 4, 23, 37, 46, 74, 92, 148, 851, 1702 and 3404. Hence, we must say that 3404 is a composite number.
- Thus, 3404 is the composite number.
- If we multiply 3404 by 1, 2, 3 then we get the multiples of 3404 which are 3404, 6808 and so on.
About the number 3404:
- 3404 has more than two factors which are 1, 2, 4, 23, 37, 46, 74, 92, 148, 851, 1702 and 3404 and hence it is the composite number.
- 3404 is the even composite number and it is not the perfect square also.
- If we divide 3404 by, 1, 2, 4, 23, 37, 46, 74, 92, 148, 851, 1702 and 3404 then we get remainder as zero. Hence, 1, 2, 4, 23, 37, 46, 74, 92, 148, 851, 1702 and 3404 are the factors of 3404.
Note:
- 3404 is not the perfect square.
- Factors of 3404: 1, 2, 4, 23, 37, 46, 74, 92, 148, 851, 1702 and 3404
- Prime factors of 3404: 2, 23, 37
Conclusion:
- 3404 is the composite number which has factors, 1, 2, 4, 23, 37, 46, 74, 92, 148, 851, 1702 and 3404
- And hence, 3404 is not the prime number.
Multiple Choice Questions:
1) 3404 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 3404 are
a) 3404
b) 2, 23, 37
c) 4, 46, 74, 92, 148, 851, 1702 and 3404
d) 1, 2, 4, 23, 37, 46, 74, 92, 148, 851, 1702 and 3404
Ans: b) 2, 23, 37
3) 3404 is even composite number because
a) It has factors 1, 2, 4, 23, 37, 46, 74, 92, 148, 851, 1702 and 3404
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all