Is 1344 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 1344 is composite or not first we have to find its factors.
Factors of 1344:
- If we have taken numbers from 1, 2, 3…for checking factors of 1344, we found that 1344 has factors 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672 and 1344. Hence, we must say that 1344 is a composite number.
- Thus, 1344 is the composite number.
- If we multiply 1344 by 1, 2, 3 then we get the multiples of 1344 which are 1344, 2688 and so on.
About the number 1344:
- 1344 has more than two factors which are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672 and 1344 and hence it is the composite number.
- 1344 is the even composite number and it is not the perfect square also.
- If we divide 1344 by 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672 and 1344 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672 and 1344 are the factors of 1344.
Note:
- 1344 is not the perfect square.
- Factors of 1344: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672 and 1344
- Prime factors of 1344: 2, 3, 7
Conclusion:
- 1344 is the composite number which has factors 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672 and 1344
- And hence, 1344 is not the prime number.
Multiple Choice Questions:
1) 1344 is a
a) Even number
b) Not a perfect square number
c) Composite number
d) all
Ans: d) all
2) The composite factors of a composite number 1344 are
a) 4, 6, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672 and 1344
b) 2, 3, 7
c) 1, 4, 6, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672 and 1344
d) 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672 and 1344
Ans: a) 4, 6, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672 and 1344
3) 1344 is composite number because
a) It has factors 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672 and 1344
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b