Is 3424 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 3424 is composite or not first we have to find its factors.
Contents
Factors of 3424:
- If we have taken numbers from 1, 2, 3…for checking factors of 3424, we found that 3424 has factors 1, 2, 4, 8, 16, 32, 107, 214, 428, 856, 1712 and 3424. Hence, we must say that 3424 is a composite number.
- Thus, 3424 is the composite number.
- If we multiply 3424 by 1, 2, 3 then we get the multiples of 3424 which are 3424, 6848 and so on.
About the number 3424:
- 3424 has more than two factors which are 1, 2, 4, 8, 16, 32, 107, 214, 428, 856, 1712 and 3424 and hence it is the composite number.
- 3424 is the even composite number and it is not the perfect square also.
- If we divide 3424 by, 1, 2, 4, 8, 16, 32, 107, 214, 428, 856, 1712 and 3424 then we get remainder as zero. Hence, 1, 2, 4, 8, 16, 32, 107, 214, 428, 856, 1712 and 3424 are the factors of 3424.
Note:
- 3424 is not the perfect square.
- Factors of 3424: 1, 2, 4, 8, 16, 32, 107, 214, 428, 856, 1712 and 3424
- Prime factors of 3424: 2, 107
Conclusion:
- 3424 is the composite number which has factors, 1, 2, 4, 8, 16, 32, 107, 214, 428, 856, 1712 and 3424
- And hence, 3424 is not the prime number.
Multiple Choice Questions:
1) 3424 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 3424 are
a) 3424
b) 2, 107
c) 4, 8, 16, 32, 214, 428, 856, 1712 and 3424
d) 1, 2, 4, 8, 16, 32, 107, 214, 428, 856, 1712 and 3424
Ans: b) 2, 107
3) 3424 is even composite number because
a) It has factors 1, 2, 4, 8, 16, 32, 107, 214, 428, 856, 1712 and 3424
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all