Is 4872 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 4872 is composite or not first we have to find its factors.
Factors of 4872:
- If we have taken numbers from 1, 2, 3…for checking factors of 4872 we found that 4872 has factors 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 29, 42, 56, 58, 84, 87, 116, 168, 174, 203, 232, 348, 406, 609, 696, 812, 1218, 1624, 2436 and 4872. Hence, we must say that 4872 is a composite number.
- Thus, 4872 is the composite number.
- If we multiply 4872 by 1, 2, 3 then we get the multiples of 4872 which are 4872, 9744 and so on.
About the number 4872:
- 4872 has more than two factors which are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 29, 42, 56, 58, 84, 87, 116, 168, 174, 203, 232, 348, 406, 609, 696, 812, 1218, 1624, 2436 and 4872 and hence it is the composite number.
- 4872 is the even composite number and it is not the perfect square also.
- If we divide 4872 by, 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 29, 42, 56, 58, 84, 87, 116, 168, 174, 203, 232, 348, 406, 609, 696, 812, 1218, 1624, 2436 and 4872 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 29, 42, 56, 58, 84, 87, 116, 168, 174, 203, 232, 348, 406, 609, 696, 812, 1218, 1624, 2436 and 4872 are the factors of 4872.
Note:
- 4872 is not the perfect square.
- Factors of 4872: 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 29, 42, 56, 58, 84, 87, 116, 168, 174, 203, 232, 348, 406, 609, 696, 812, 1218, 1624, 2436 and 4872
- Prime factors of 4872: 2, 3, 7, 29
Conclusion:
- 4872 is the composite number which has factors, 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 29, 42, 56, 58, 84, 87, 116, 168, 174, 203, 232, 348, 406, 609, 696, 812, 1218, 1624, 2436 and 4872
- And hence, 4872 is not the prime number.
Multiple Choice Questions:
1) 4872 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 4872 are
a) 4872
b) 2, 3, 7, 29
c) 4, 6, 8, 12, 14, 21, 24, 28, 42, 56, 58, 84, 87, 116, 168, 174, 203, 232, 348, 406, 609, 696, 812, 1218, 1624, 2436 and 4872
d) 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 29, 42, 56, 58, 84, 87, 116, 168, 174, 203, 232, 348, 406, 609, 696, 812, 1218, 1624, 2436 and 4872
Ans: b) 2, 3, 7, 29
3) 4872 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 29, 42, 56, 58, 84, 87, 116, 168, 174, 203, 232, 348, 406, 609, 696, 812, 1218, 1624, 2436 and 4872
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all