Is 4176 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 4176 is composite or not first we have to find its factors.
Factors of 4176:
- If we have taken numbers from 1, 2, 3…for checking factors of 4176 we found that 4176 has factors 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 36, 48, 58, 72, 87, 116, 144, 174, 232, 261, 348, 464, 522, 696, 1044, 1392, 2088 and 4176. Hence, we must say that 4176 is a composite number.
- Thus, 4176 is the composite number.
- If we multiply 4176 by 1, 2, 3 then we get the multiples of 4176 which are 4176, 8352 and so on.
About the number 4176:
- 4176 has more than two factors which are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 36, 48, 58, 72, 87, 116, 144, 174, 232, 261, 348, 464, 522, 696, 1044, 1392, 2088 and 4176 and hence it is the composite number.
- 4176 is the even composite number and it is not the perfect square also.
- If we divide 4176 by, 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 36, 48, 58, 72, 87, 116, 144, 174, 232, 261, 348, 464, 522, 696, 1044, 1392, 2088 and 4176 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 36, 48, 58, 72, 87, 116, 144, 174, 232, 261, 348, 464, 522, 696, 1044, 1392, 2088 and 4176 are the factors of 4176.
Note:
- 4176 is not the perfect square.
- Factors of 4176: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 36, 48, 58, 72, 87, 116, 144, 174, 232, 261, 348, 464, 522, 696, 1044, 1392, 2088 and 4176
- Prime factors of 4176: 2, 3, 29
Conclusion:
- 4176 is the composite number which has factors, 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 36, 48, 58, 72, 87, 116, 144, 174, 232, 261, 348, 464, 522, 696, 1044, 1392, 2088 and 4176
- And hence, 4176 is not the prime number.
Multiple Choice Questions:
1) 4176 is a
a) Prime number
b) Even number
c) Composite number
d) Both b and c
Ans: d) both b and c
2) The composite factors of a composite number 4176 are
a) 4176
b) 2, 3, 29
c) 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 58, 72, 87, 116, 144, 174, 232, 261, 348, 464, 522, 696, 1044, 1392, 2088 and 4176
d) 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 36, 48, 58, 72, 87, 116, 144, 174, 232, 261, 348, 464, 522, 696, 1044, 1392, 2088 and 4176
Ans: c) 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 58, 72, 87, 116, 144, 174, 232, 261, 348, 464, 522, 696, 1044, 1392, 2088 and 4176
3) 4176 is composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 36, 48, 58, 72, 87, 116, 144, 174, 232, 261, 348, 464, 522, 696, 1044, 1392, 2088 and 4176
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b