Is 4774 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 4774 is composite or not first we have to find its factors.
Contents
Factors of 4774:
- If we have taken numbers from 1, 2, 3…for checking factors of 4774 we found that 4774 has factors 1, 2, 7, 11, 14, 22, 31, 62, 77, 154, 217, 341, 434, 682, 2387 and 4774. Hence, we must say that 4774 is a composite number.
- Thus, 4774 is the composite number.
- If we multiply 4774 by 1, 2, 3 then we get the multiples of 4774 which are 4774, 9548 and so on.
About the number 4774:
- 4774 has more than two factors which are 1, 2, 7, 11, 14, 22, 31, 62, 77, 154, 217, 341, 434, 682, 2387 and 4774 and hence it is the composite number.
- 4774 is the even composite number and it is not the perfect square also.
- If we divide 4774 by, 1, 2, 7, 11, 14, 22, 31, 62, 77, 154, 217, 341, 434, 682, 2387 and 4774 then we get remainder as zero. Hence, 1, 2, 7, 11, 14, 22, 31, 62, 77, 154, 217, 341, 434, 682, 2387 and 4774 are the factors of 4774.
Note:
- 4774 is not the perfect square.
- Factors of 4774: 1, 2, 7, 11, 14, 22, 31, 62, 77, 154, 217, 341, 434, 682, 2387 and 4774
- Prime factors of 4774: 2, 7, 11, 31
Conclusion:
- 4774 is the composite number which has factors, 1, 2, 7, 11, 14, 22, 31, 62, 77, 154, 217, 341, 434, 682, 2387 and 4774
- And hence, 4774 is not the prime number.
Multiple Choice Questions:
1) 4774 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 4774 are
a) 4774
b) 2, 7, 11, 31
c) 14, 22, 62, 77, 154, 217, 341, 434, 682, 2387 and 4774
d) 1, 2, 7, 11, 14, 22, 31, 62, 77, 154, 217, 341, 434, 682, 2387 and 4774
Ans: b) 2, 7, 11, 31
3) 4774 is even composite number because
a) It has factors 1, 2, 7, 11, 14, 22, 31, 62, 77, 154, 217, 341, 434, 682, 2387 and 4774
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all