Is 4956 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 4956 is composite or not first we have to find its factors.
Contents
Factors of 4956:
- If we have taken numbers from 1, 2, 3…for checking factors of 4956 we found that 4956 has factors 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 59, 84, 118, 177, 236, 354, 413, 708, 826, 1239, 1652, 2478 and 4956. Hence, we must say that 4956 is a composite number.
- Thus, 4956 is the composite number.
- If we multiply 4956 by 1, 2, 3 then we get the multiples of 4956 which are 4956, 9912 and so on.
About the number 4956:
- 4956 has more than two factors which are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 59, 84, 118, 177, 236, 354, 413, 708, 826, 1239, 1652, 2478 and 4956 and hence it is the composite number.
- 4956 is the even composite number and it is not the perfect square also.
- If we divide 4956 by, 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 59, 84, 118, 177, 236, 354, 413, 708, 826, 1239, 1652, 2478 and 4956 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 59, 84, 118, 177, 236, 354, 413, 708, 826, 1239, 1652, 2478 and 4956 are the factors of 4956.
Note:
- 4956 is not the perfect square.
- Factors of 4956: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 59, 84, 118, 177, 236, 354, 413, 708, 826, 1239, 1652, 2478 and 4956
- Prime factors of 4956: 2, 3, 7, 59
Conclusion:
- 4956 is the composite number which has factors, 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 59, 84, 118, 177, 236, 354, 413, 708, 826, 1239, 1652, 2478 and 4956
- And hence, 4956 is not the prime number.
Multiple Choice Questions:
1) 4956 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 4956 are
a) 4956
b) 2, 3, 7, 59
c) 4, 6, 12, 14, 21, 28, 42, 84, 118, 177, 236, 354, 413, 708, 826, 1239, 1652, 2478 and 4956
d) 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 59, 84, 118, 177, 236, 354, 413, 708, 826, 1239, 1652, 2478 and 4956
Ans: b) 2, 3, 7, 59
3) 4956 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 59, 84, 118, 177, 236, 354, 413, 708, 826, 1239, 1652, 2478 and 4956
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all