Is 4278 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 4278 is composite or not first we have to find its factors.
Contents
Factors of 4278:
- If we have taken numbers from 1, 2, 3…for checking factors of 4278 we found that 4278 has factors 1, 2, 3, 6, 23, 31, 46, 62, 69, 93, 138, 186, 713, 1426, 2139 and 4278. Hence, we must say that 4278 is a composite number.
- Thus, 4278 is the composite number.
- If we multiply 4278 by 1, 2, 3 then we get the multiples of 4278 which are 4278, 8556 and so on.
About the number 4278:
- 4278 has more than two factors which are 1, 2, 3, 6, 23, 31, 46, 62, 69, 93, 138, 186, 713, 1426, 2139 and 4278 and hence it is the composite number.
- 4278 is the even composite number and it is not the perfect square also.
- If we divide 4278 by, 1, 2, 3, 6, 23, 31, 46, 62, 69, 93, 138, 186, 713, 1426, 2139 and 4278 then we get remainder as zero. Hence, 1, 2, 3, 6, 23, 31, 46, 62, 69, 93, 138, 186, 713, 1426, 2139 and 4278 are the factors of 4278.
Note:
- 4278 is not the perfect square.
- Factors of 4278: 1, 2, 3, 6, 23, 31, 46, 62, 69, 93, 138, 186, 713, 1426, 2139 and 4278
- Prime factors of 4278: 2, 3, 23, 31
Conclusion:
- 4278 is the composite number which has factors, 1, 2, 3, 6, 23, 31, 46, 62, 69, 93, 138, 186, 713, 1426, 2139 and 4278
- And hence, 4278 is not the prime number.
Multiple Choice Questions:
1) 4278 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 4278 are
a) 4278
b) 2, 3, 23, 31
c) 6, 46, 62, 69, 93, 138, 186, 713, 1426, 2139 and 4278
d) 1, 2, 3, 6, 23, 31, 46, 62, 69, 93, 138, 186, 713, 1426, 2139 and 4278
Ans: c) 6, 46, 62, 69, 93, 138, 186, 713, 1426, 2139 and 4278
3) 4278 is composite number because
a) It has factors 1, 2, 3, 6, 23, 31, 46, 62, 69, 93, 138, 186, 713, 1426, 2139 and 4278
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b