Is 4224 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 4224 is composite or not first we have to find its factors.
Factors of 4224:
- If we have taken numbers from 1, 2, 3…for checking factors of 4224 we found that 4224 has factors 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 264, 352, 384, 528, 704, 1056, 1408, 2112 and 4224. Hence, we must say that 4224 is a composite number.
- Thus, 4224 is the composite number.
- If we multiply 4224 by 1, 2, 3 then we get the multiples of 4224 which are 4224, 8448 and so on.
About the number 4224:
- 4224 has more than two factors which are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 264, 352, 384, 528, 704, 1056, 1408, 2112 and 4224 and hence it is the composite number.
- 4224 is the even composite number and it is not the perfect square also.
- If we divide 4224 by, 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 264, 352, 384, 528, 704, 1056, 1408, 2112 and 4224 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 264, 352, 384, 528, 704, 1056, 1408, 2112 and 4224 are the factors of 4224.
Note:
- 4224 is not the perfect square.
- Factors of 4224: 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 264, 352, 384, 528, 704, 1056, 1408, 2112 and 4224
- Prime factors of 4224: 2, 3, 11
Conclusion:
- 4224 is the composite number which has factors, 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 264, 352, 384, 528, 704, 1056, 1408, 2112 and 4224
- And hence, 4224 is not the prime number.
Multiple Choice Questions:
1) 4224 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 4224 are
a) 4224
b) 2, 3, 11
c) 4, 6, 8, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 264, 352, 384, 528, 704, 1056, 1408, 2112 and 4224
d) 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 264, 352, 384, 528, 704, 1056, 1408, 2112 and 4224
Ans: c) 4, 6, 8, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 264, 352, 384, 528, 704, 1056, 1408, 2112 and 4224
3) 4224 is composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 264, 352, 384, 528, 704, 1056, 1408, 2112 and 4224
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b