Is 4446 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 4446 is composite or not first we have to find its factors.
Contents
Factors of 4446:
- If we have taken numbers from 1, 2, 3…for checking factors of 4446 we found that 4446 has factors 1, 2, 3, 6, 9, 13, 18, 19, 26, 38, 39, 57, 78, 114, 117, 171, 234, 247, 342, 494, 741, 1482, 2223 and 4446. Hence, we must say that 4446 is a composite number.
- Thus, 4446 is the composite number.
- If we multiply 4446 by 1, 2, 3 then we get the multiples of 4446 which are 4446, 8892 and so on.
About the number 4446:
- 4446 has more than two factors which are 1, 2, 3, 6, 9, 13, 18, 19, 26, 38, 39, 57, 78, 114, 117, 171, 234, 247, 342, 494, 741, 1482, 2223 and 4446 and hence it is the composite number.
- 4446 is the even composite number and it is not the perfect square also.
- If we divide 4446 by, 1, 2, 3, 6, 9, 13, 18, 19, 26, 38, 39, 57, 78, 114, 117, 171, 234, 247, 342, 494, 741, 1482, 2223 and 4446 then we get remainder as zero. Hence, 1, 2, 3, 6, 9, 13, 18, 19, 26, 38, 39, 57, 78, 114, 117, 171, 234, 247, 342, 494, 741, 1482, 2223 and 4446 are the factors of 4446.
Note:
- 4446 is not the perfect square.
- Factors of 4446: 1, 2, 3, 6, 9, 13, 18, 19, 26, 38, 39, 57, 78, 114, 117, 171, 234, 247, 342, 494, 741, 1482, 2223 and 4446
- Prime factors of 4446: 2, 3, 13, 19
Conclusion:
- 4446 is the composite number which has factors, 1, 2, 3, 6, 9, 13, 18, 19, 26, 38, 39, 57, 78, 114, 117, 171, 234, 247, 342, 494, 741, 1482, 2223 and 4446
- And hence, 4446 is not the prime number.
Multiple Choice Questions:
1) 4446 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 4446 are
a) 4446
b) 2, 3, 13, 19
c) 6, 9, 18, 26, 38, 39, 57, 78, 114, 117, 171, 234, 247, 342, 494, 741, 1482, 2223 and 4446
d) 1, 2, 3, 6, 9, 13, 18, 19, 26, 38, 39, 57, 78, 114, 117, 171, 234, 247, 342, 494, 741, 1482, 2223 and 4446
Ans: c) 6, 9, 18, 26, 38, 39, 57, 78, 114, 117, 171, 234, 247, 342, 494, 741, 1482, 2223 and 4446
3) 4446 is composite number because
a) It has factors 1, 2, 3, 6, 9, 13, 18, 19, 26, 38, 39, 57, 78, 114, 117, 171, 234, 247, 342, 494, 741, 1482, 2223 and 4446
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b