Is 4940 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 4940 is composite or not first we have to find its factors.
Contents
Factors of 4940:
- If we have taken numbers from 1, 2, 3…for checking factors of 4940 we found that 4940 has factors 1, 2, 4, 5, 10, 13, 19, 20, 26, 38, 52, 65, 76, 95, 130, 190, 247, 260, 380, 494, 988, 1235, 2470 and 4940. Hence, we must say that 4940 is a composite number.
- Thus, 4940 is the composite number.
- If we multiply 4940 by 1, 2, 3 then we get the multiples of 4940 which are 4940, 9880 and so on.
About the number 4940:
- 4940 has more than two factors which are 1, 2, 4, 5, 10, 13, 19, 20, 26, 38, 52, 65, 76, 95, 130, 190, 247, 260, 380, 494, 988, 1235, 2470 and 4940 and hence it is the composite number.
- 4940 is the even composite number and it is not the perfect square also.
- If we divide 4940 by, 1, 2, 4, 5, 10, 13, 19, 20, 26, 38, 52, 65, 76, 95, 130, 190, 247, 260, 380, 494, 988, 1235, 2470 and 4940 then we get remainder as zero. Hence, 1, 2, 4, 5, 10, 13, 19, 20, 26, 38, 52, 65, 76, 95, 130, 190, 247, 260, 380, 494, 988, 1235, 2470 and 4940 are the factors of 4940.
Note:
- 4940 is not the perfect square.
- Factors of 4940: 1, 2, 4, 5, 10, 13, 19, 20, 26, 38, 52, 65, 76, 95, 130, 190, 247, 260, 380, 494, 988, 1235, 2470 and 4940
- Prime factors of 4940: 2, 5, 13, 19
Conclusion:
- 4940 is the composite number which has factors, 1, 2, 4, 5, 10, 13, 19, 20, 26, 38, 52, 65, 76, 95, 130, 190, 247, 260, 380, 494, 988, 1235, 2470 and 4940
- And hence, 4940 is not the prime number.
Multiple Choice Questions:
1) 4940 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 4940 are
a) 4940
b) 2, 5, 13, 19
c) 4, 10, 20, 26, 38, 52, 65, 76, 95, 130, 190, 247, 260, 380, 494, 988, 1235, 2470 and 4940
d) 1, 2, 4, 5, 10, 13, 19, 20, 26, 38, 52, 65, 76, 95, 130, 190, 247, 260, 380, 494, 988, 1235, 2470 and 4940
Ans: b) 2, 5, 13, 19
3) 4940 is even composite number because
a) It has factors 1, 2, 4, 5, 10, 13, 19, 20, 26, 38, 52, 65, 76, 95, 130, 190, 247, 260, 380, 494, 988, 1235, 2470 and 4940
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all