Is 4758 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 4758 is composite or not first we have to find its factors.
Contents
Factors of 4758:
- If we have taken numbers from 1, 2, 3…for checking factors of 4758 we found that 4758 has factors 1, 2, 3, 6, 13, 26, 39, 61, 78, 122, 183, 366, 793, 1586, 2379 and 4758. Hence, we must say that 4758 is a composite number.
- Thus, 4758 is the composite number.
- If we multiply 4758 by 1, 2, 3 then we get the multiples of 4758 which are 4758, 9516 and so on.
About the number 4758:
- 4758 has more than two factors which are 1, 2, 3, 6, 13, 26, 39, 61, 78, 122, 183, 366, 793, 1586, 2379 and 4758 and hence it is the composite number.
- 4758 is the even composite number and it is not the perfect square also.
- If we divide 4758 by, 1, 2, 3, 6, 13, 26, 39, 61, 78, 122, 183, 366, 793, 1586, 2379 and 4758 then we get remainder as zero. Hence, 1, 2, 3, 6, 13, 26, 39, 61, 78, 122, 183, 366, 793, 1586, 2379 and 4758 are the factors of 4758.
Note:
- 4758 is not the perfect square.
- Factors of 4758: 1, 2, 3, 6, 13, 26, 39, 61, 78, 122, 183, 366, 793, 1586, 2379 and 4758
- Prime factors of 4758: 2, 3, 13, 61
Conclusion:
- 4758 is the composite number which has factors, 1, 2, 3, 6, 13, 26, 39, 61, 78, 122, 183, 366, 793, 1586, 2379 and 4758
- And hence, 4758 is not the prime number.
Multiple Choice Questions:
1) 4758 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 4758 are
a) 4758
b) 2, 3, 13, 61
c) 6, 26, 39, 78, 122, 183, 366, 793, 1586, 2379 and 4758
d) 1, 2, 3, 6, 13, 26, 39, 61, 78, 122, 183, 366, 793, 1586, 2379 and 4758
Ans: b) 2, 3, 13, 61
3) 4758 is even composite number because
a) It has factors 1, 2, 3, 6, 13, 26, 39, 61, 78, 122, 183, 366, 793, 1586, 2379 and 4758
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all