Is 4806 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 4806 is composite or not first we have to find its factors.
Contents
Factors of 4806:
- If we have taken numbers from 1, 2, 3…for checking factors of 4806 we found that 4806 has factors 1, 2, 3, 6, 9, 18, 27, 54, 89, 178, 267, 534, 801, 1602, 2403 and 4806. Hence, we must say that 4806 is a composite number.
- Thus, 4806 is the composite number.
- If we multiply 4806 by 1, 2, 3 then we get the multiples of 4806 which are 4806, 9612 and so on.
About the number 4806:
- 4806 has more than two factors which are 1, 2, 3, 6, 9, 18, 27, 54, 89, 178, 267, 534, 801, 1602, 2403 and 4806 and hence it is the composite number.
- 4806 is the even composite number and it is not the perfect square also.
- If we divide 4806 by, 1, 2, 3, 6, 9, 18, 27, 54, 89, 178, 267, 534, 801, 1602, 2403 and 4806 then we get remainder as zero. Hence, 1, 2, 3, 6, 9, 18, 27, 54, 89, 178, 267, 534, 801, 1602, 2403 and 4806 are the factors of 4806.
Note:
- 4806 is not the perfect square.
- Factors of 4806: 1, 2, 3, 6, 9, 18, 27, 54, 89, 178, 267, 534, 801, 1602, 2403 and 4806
- Prime factors of 4806: 2, 3, 89
Conclusion:
- 4806 is the composite number which has factors, 1, 2, 3, 6, 9, 18, 27, 54, 89, 178, 267, 534, 801, 1602, 2403 and 4806
- And hence, 4806 is not the prime number.
Multiple Choice Questions:
1) 4806 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 4806 are
a) 4806
b) 2, 3, 89
c) 6, 9, 18, 27, 54, 178, 267, 534, 801, 1602, 2403 and 4806
d) 1, 2, 3, 6, 9, 18, 27, 54, 89, 178, 267, 534, 801, 1602, 2403 and 4806
Ans: b) 2, 3, 89
3) 4806 is even composite number because
a) It has factors 1, 2, 3, 6, 9, 18, 27, 54, 89, 178, 267, 534, 801, 1602, 2403 and 4806
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all