Is 4968 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 4968 is composite or not first we have to find its factors.
Factors of 4968:
- If we have taken numbers from 1, 2, 3…for checking factors of 4968 we found that 4968 has factors 1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 27, 36, 46, 54, 69, 72, 92, 108, 138, 184, 207, 216, 276, 414, 552, 621, 828, 1242, 1656, 2484 and 4968. Hence, we must say that 4968 is a composite number.
- Thus, 4968 is the composite number.
- If we multiply 4968 by 1, 2, 3 then we get the multiples of 4968 which are 4968, 9936 and so on.
About the number 4968:
- 4968 has more than two factors which are 1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 27, 36, 46, 54, 69, 72, 92, 108, 138, 184, 207, 216, 276, 414, 552, 621, 828, 1242, 1656, 2484 and 4968 and hence it is the composite number.
- 4968 is the even composite number and it is not the perfect square also.
- If we divide 4968 by, 1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 27, 36, 46, 54, 69, 72, 92, 108, 138, 184, 207, 216, 276, 414, 552, 621, 828, 1242, 1656, 2484 and 4968 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 27, 36, 46, 54, 69, 72, 92, 108, 138, 184, 207, 216, 276, 414, 552, 621, 828, 1242, 1656, 2484 and 4968 are the factors of 4968.
Note:
- 4968 is not the perfect square.
- Factors of 4968: 1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 27, 36, 46, 54, 69, 72, 92, 108, 138, 184, 207, 216, 276, 414, 552, 621, 828, 1242, 1656, 2484 and 4968
- Prime factors of 4968: 2, 3, 23
Conclusion:
- 4968 is the composite number which has factors, 1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 27, 36, 46, 54, 69, 72, 92, 108, 138, 184, 207, 216, 276, 414, 552, 621, 828, 1242, 1656, 2484 and 4968
- And hence, 4968 is not the prime number.
Multiple Choice Questions:
1) 4968 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 4968 are
a) 4968
b) 2, 3, 23
c) 4, 6, 8, 9, 12, 18, 24, 27, 36, 46, 54, 69, 72, 92, 108, 138, 184, 207, 216, 276, 414, 552, 621, 828, 1242, 1656, 2484 and 4968
d) 1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 27, 36, 46, 54, 69, 72, 92, 108, 138, 184, 207, 216, 276, 414, 552, 621, 828, 1242, 1656, 2484 and 4968
Ans: b) 2, 3, 23
3) 4968 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 27, 36, 46, 54, 69, 72, 92, 108, 138, 184, 207, 216, 276, 414, 552, 621, 828, 1242, 1656, 2484 and 4968
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all