Is 4842 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 4842 is composite or not first we have to find its factors.
Contents
Factors of 4842:
- If we have taken numbers from 1, 2, 3…for checking factors of 4842 we found that 4842 has factors 1, 2, 3, 6, 9, 18, 269, 538, 807, 1614, 2421 and 4842. Hence, we must say that 4842 is a composite number.
- Thus, 4842 is the composite number.
- If we multiply 4842 by 1, 2, 3 then we get the multiples of 4842 which are 4842, 9684 and so on.
About the number 4842:
- 4842 has more than two factors which are 1, 2, 3, 6, 9, 18, 269, 538, 807, 1614, 2421 and 4842 and hence it is the composite number.
- 4842 is the even composite number and it is not the perfect square also.
- If we divide 4842 by, 1, 2, 3, 6, 9, 18, 269, 538, 807, 1614, 2421 and 4842 then we get remainder as zero. Hence, 1, 2, 3, 6, 9, 18, 269, 538, 807, 1614, 2421 and 4842 are the factors of 4842.
Note:
- 4842 is not the perfect square.
- Factors of 4842: 1, 2, 3, 6, 9, 18, 269, 538, 807, 1614, 2421 and 4842
- Prime factors of 4842: 2, 3, 269
Conclusion:
- 4842 is the composite number which has factors, 1, 2, 3, 6, 9, 18, 269, 538, 807, 1614, 2421 and 4842
- And hence, 4842 is not the prime number.
Multiple Choice Questions:
1) 4842 is a
a) Prime number
b) even number
c) even Composite number
d) Both a and c
Ans: c) even composite number
2) The prime factors of a composite number 4842 are
a) 4842
b) 2, 3, 269
c) 6, 9, 18, 538, 807, 1614, 2421 and 4842
d) 1, 2, 3, 6, 9, 18, 269, 538, 807, 1614, 2421 and 4842
Ans: b) 2, 3, 269
3) 4842 is even composite number because
a) It has factors 1, 2, 3, 6, 9, 18, 269, 538, 807, 1614, 2421 and 4842
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all