Is 4920 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 4920 is composite or not first we have to find its factors.
Factors of 4920:
- If we have taken numbers from 1, 2, 3…for checking factors of 4920 we found that 4920 has factors 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 41, 60, 82, 120, 123, 164, 205, 246, 328, 410, 492, 615, 820, 984, 1230, 1640, 2460 and 4920. Hence, we must say that 4920 is a composite number.
- Thus, 4920 is the composite number.
- If we multiply 4920 by 1, 2, 3 then we get the multiples of 4920 which are 4920, 9840 and so on.
About the number 4920:
- 4920 has more than two factors which are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 41, 60, 82, 120, 123, 164, 205, 246, 328, 410, 492, 615, 820, 984, 1230, 1640, 2460 and 4920 and hence it is the composite number.
- 4920 is the even composite number and it is not the perfect square also.
- If we divide 4920 by, 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 41, 60, 82, 120, 123, 164, 205, 246, 328, 410, 492, 615, 820, 984, 1230, 1640, 2460 and 4920 then we get remainder as zero. Hence, 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 41, 60, 82, 120, 123, 164, 205, 246, 328, 410, 492, 615, 820, 984, 1230, 1640, 2460 and 4920 are the factors of 4920.
Note:
- 4920 is not the perfect square.
- Factors of 4920: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 41, 60, 82, 120, 123, 164, 205, 246, 328, 410, 492, 615, 820, 984, 1230, 1640, 2460 and 4920
- Prime factors of 4920: 2, 3, 5, 41
Conclusion:
- 4920 is the composite number which has factors, 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 41, 60, 82, 120, 123, 164, 205, 246, 328, 410, 492, 615, 820, 984, 1230, 1640, 2460 and 4920
- And hence, 4920 is not the prime number.
Multiple Choice Questions:
1) 4920 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 4920 are
a) 4920
b) 2, 3, 5, 41
c) 4, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 82, 120, 123, 164, 205, 246, 328, 410, 492, 615, 820, 984, 1230, 1640, 2460 and 4920
d) 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 41, 60, 82, 120, 123, 164, 205, 246, 328, 410, 492, 615, 820, 984, 1230, 1640, 2460 and 4920
Ans: b) 2, 3, 5, 41
3) 4920 is even composite number because
a) It has factors 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 41, 60, 82, 120, 123, 164, 205, 246, 328, 410, 492, 615, 820, 984, 1230, 1640, 2460 and 4920
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all