Is 4964 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 4964 is composite or not first we have to find its factors.
Contents
Factors of 4964:
- If we have taken numbers from 1, 2, 3…for checking factors of 4964 we found that 4964 has factors 1, 2, 4, 17, 34, 68, 73, 146, 292, 1241, 2482 and 4964. Hence, we must say that 4964 is a composite number.
- Thus, 4964 is the composite number.
- If we multiply 4964 by 1, 2, 3 then we get the multiples of 4964 which are 4964, 9928 and so on.
About the number 4964:
- 4964 has more than two factors which are 1, 2, 4, 17, 34, 68, 73, 146, 292, 1241, 2482 and 4964 and hence it is the composite number.
- 4964 is the even composite number and it is not the perfect square also.
- If we divide 4964 by, 1, 2, 4, 17, 34, 68, 73, 146, 292, 1241, 2482 and 4964 then we get remainder as zero. Hence, 1, 2, 4, 17, 34, 68, 73, 146, 292, 1241, 2482 and 4964 are the factors of 4964.
Note:
- 4964 is not the perfect square.
- Factors of 4964: 1, 2, 4, 17, 34, 68, 73, 146, 292, 1241, 2482 and 4964
- Prime factors of 4964: 2, 17, 73
Conclusion:
- 4964 is the composite number which has factors, 1, 2, 4, 17, 34, 68, 73, 146, 292, 1241, 2482 and 4964
- And hence, 4964 is not the prime number.
Multiple Choice Questions:
1) 4964 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 4964 are
a) 4964
b) 2, 17, 73
c) 4, 34, 68, 146, 292, 1241, 2482 and 4964
d) 1, 2, 4, 17, 34, 68, 73, 146, 292, 1241, 2482 and 4964
Ans: b) 2, 17, 73
3) 4964 is even composite number because
a) It has factors 1, 2, 4, 17, 34, 68, 73, 146, 292, 1241, 2482 and 4964
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all