Is 1368 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 1368 is composite or not first we have to find its factors.
Factors of 1368:
- If we have taken numbers from 1, 2, 3…for checking factors of 1368, we found that 1368 has factors 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 72, 76, 114, 152, 171, 228, 342, 456, 684 and 1368. Hence, we must say that 1368 is a composite number.
- Thus, 1368 is the composite number.
- If we multiply 1368 by 1, 2, 3 then we get the multiples of 1368 which are 1368, 2736 and so on.
About the number 1368:
- 1368 has more than two factors which are 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 72, 76, 114, 152, 171, 228, 342, 456, 684 and 1368 and hence it is the composite number.
- 1368 is the even composite number and it is not the perfect square also.
- If we divide 1368 by 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 72, 76, 114, 152, 171, 228, 342, 456, 684 and 1368 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 72, 76, 114, 152, 171, 228, 342, 456, 684 and 1368 are the factors of 1368.
Note:
- 1368 is not the perfect square.
- Factors of 1368: 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 72, 76, 114, 152, 171, 228, 342, 456, 684 and 1368
- Prime factors of 1368: 2, 3, 19
Conclusion:
- 1368 is the composite number which has factors 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 72, 76, 114, 152, 171, 228, 342, 456, 684 and 1368
- And hence, 1368 is not the prime number.
Multiple Choice Questions:
1) 1368 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 1368 are
a) 4, 6, 8, 9, 12, 18, 24, 36, 38, 57, 72, 76, 114, 152, 171, 228, 342, 456, 684 and 1368
b) 2, 3, 19
c) 1, 4, 6, 8, 9, 12, 18, 24, 36, 38, 57, 72, 76, 114, 152, 171, 228, 342, 456, 684 and 1368
d) 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 72, 76, 114, 152, 171, 228, 342, 456, 684 and 1368
Ans: a) 4, 6, 8, 9, 12, 18, 24, 36, 38, 57, 72, 76, 114, 152, 171, 228, 342, 456, 684 and 1368
3) 1368 is composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 72, 76, 114, 152, 171, 228, 342, 456, 684 and 1368
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b