Is 4914 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 4914 is composite or not first we have to find its factors.
Factors of 4914:
- If we have taken numbers from 1, 2, 3…for checking factors of 4914 we found that 4914 has factors 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 27, 39, 42, 54, 63, 78, 91, 117, 126, 182, 189, 234, 273, 351, 378, 546, 702, 819, 1638, 2457 and 4914. Hence, we must say that 4914 is a composite number.
- Thus, 4914 is the composite number.
- If we multiply 4914 by 1, 2, 3 then we get the multiples of 4914 which are 4914, 9828 and so on.
About the number 4914:
- 4914 has more than two factors which are 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 27, 39, 42, 54, 63, 78, 91, 117, 126, 182, 189, 234, 273, 351, 378, 546, 702, 819, 1638, 2457 and 4914 and hence it is the composite number.
- 4914 is the even composite number and it is not the perfect square also.
- If we divide 4914 by, 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 27, 39, 42, 54, 63, 78, 91, 117, 126, 182, 189, 234, 273, 351, 378, 546, 702, 819, 1638, 2457 and 4914 then we get remainder as zero. Hence, 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 27, 39, 42, 54, 63, 78, 91, 117, 126, 182, 189, 234, 273, 351, 378, 546, 702, 819, 1638, 2457 and 4914 are the factors of 4914.
Note:
- 4914 is not the perfect square.
- Factors of 4914: 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 27, 39, 42, 54, 63, 78, 91, 117, 126, 182, 189, 234, 273, 351, 378, 546, 702, 819, 1638, 2457 and 4914
- Prime factors of 4914: 2, 3, 7, 13
Conclusion:
- 4914 is the composite number which has factors, 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 27, 39, 42, 54, 63, 78, 91, 117, 126, 182, 189, 234, 273, 351, 378, 546, 702, 819, 1638, 2457 and 4914
- And hence, 4914 is not the prime number.
Multiple Choice Questions:
1) 4914 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 4914 are
a) 4914
b) 2, 3, 7, 13
c) 6, 9, 14, 18, 21, 26, 27, 39, 42, 54, 63, 78, 91, 117, 126, 182, 189, 234, 273, 351, 378, 546, 702, 819, 1638, 2457 and 4914
d) 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 27, 39, 42, 54, 63, 78, 91, 117, 126, 182, 189, 234, 273, 351, 378, 546, 702, 819, 1638, 2457 and 4914
Ans: b) 2, 3, 7, 13
3) 4914 is even composite number because
a) It has factors 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 27, 39, 42, 54, 63, 78, 91, 117, 126, 182, 189, 234, 273, 351, 378, 546, 702, 819, 1638, 2457 and 4914
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all