Is 4218 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 4218 is composite or not first we have to find its factors.
Contents
Factors of 4218:
- If we have taken numbers from 1, 2, 3…for checking factors of 4218 we found that 4218 has factors 1, 2, 3, 6, 19, 37, 38, 57, 74, 111, 114, 222, 703, 1406, 2109 and 4218. Hence, we must say that 4218 is a composite number.
- Thus, 4218 is the composite number.
- If we multiply 4218 by 1, 2, 3 then we get the multiples of 4218 which are 4218, 8436 and so on.
About the number 4218:
- 4218 has more than two factors which are 1, 2, 3, 6, 19, 37, 38, 57, 74, 111, 114, 222, 703, 1406, 2109 and 4218 and hence it is the composite number.
- 4218 is the even composite number and it is not the perfect square also.
- If we divide 4218 by, 1, 2, 3, 6, 19, 37, 38, 57, 74, 111, 114, 222, 703, 1406, 2109 and 4218 then we get remainder as zero. Hence, 1, 2, 3, 6, 19, 37, 38, 57, 74, 111, 114, 222, 703, 1406, 2109 and 4218 are the factors of 4218.
Note:
- 4218 is not the perfect square.
- Factors of 4218: 1, 2, 3, 6, 19, 37, 38, 57, 74, 111, 114, 222, 703, 1406, 2109 and 4218
- Prime factors of 4218: 2, 3, 19, 37
Conclusion:
- 4218 is the composite number which has factors, 1, 2, 3, 6, 19, 37, 38, 57, 74, 111, 114, 222, 703, 1406, 2109 and 4218
- And hence, 4218 is not the prime number.
Multiple Choice Questions:
1) 4218 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 4218 are
a) 4218
b) 2, 3, 19, 37
c) 6, 38, 57, 74, 111, 114, 222, 703, 1406, 2109 and 4218
d) 1, 2, 3, 6, 19, 37, 38, 57, 74, 111, 114, 222, 703, 1406, 2109 and 4218
Ans: c) 6, 38, 57, 74, 111, 114, 222, 703, 1406, 2109 and 4218
3) 4218 is composite number because
a) It has factors 1, 2, 3, 6, 19, 37, 38, 57, 74, 111, 114, 222, 703, 1406, 2109 and 4218
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b