Is 4214 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 4214 is composite or not first we have to find its factors.
Contents
Factors of 4214:
- If we have taken numbers from 1, 2, 3…for checking factors of 4214 we found that 4214 has factors 1, 2, 7, 14, 43, 49, 86, 98, 301, 602, 2107 and 4214. Hence, we must say that 4214 is a composite number.
- Thus, 4214 is the composite number.
- If we multiply 4214 by 1, 2, 3 then we get the multiples of 4214 which are 4214, 8428 and so on.
About the number 4214:
- 4214 has more than two factors which are 1, 2, 7, 14, 43, 49, 86, 98, 301, 602, 2107 and 4214 and hence it is the composite number.
- 4214 is the even composite number and it is not the perfect square also.
- If we divide 4214 by, 1, 2, 7, 14, 43, 49, 86, 98, 301, 602, 2107 and 4214 then we get remainder as zero. Hence, 1, 2, 7, 14, 43, 49, 86, 98, 301, 602, 2107 and 4214 are the factors of 4214.
Note:
- 4214 is not the perfect square.
- Factors of 4214: 1, 2, 7, 14, 43, 49, 86, 98, 301, 602, 2107 and 4214
- Prime factors of 4214: 2, 7, 43
Conclusion:
- 4214 is the composite number which has factors, 1, 2, 7, 14, 43, 49, 86, 98, 301, 602, 2107 and 4214
- And hence, 4214 is not the prime number.
Multiple Choice Questions:
1) 4214 is a
a) Prime number
b) Even number
c) Composite number
d) Both b and c
Ans: d) both b and c
2) The composite factors of a composite number 4214 are
a) 4214
b) 2, 7, 43
c) 14, 49, 86, 98, 301, 602, 2107 and 4214
d) 1, 2, 7, 14, 43, 49, 86, 98, 301, 602, 2107 and 4214
Ans: c) 14, 49, 86, 98, 301, 602, 2107 and 4214
3) 4214 is composite number because
a) It has factors 1, 2, 7, 14, 43, 49, 86, 98, 301, 602, 2107 and 4214
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and