Is 1392 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 1392 is composite or not first we have to find its factors.
Contents
Factors of 1392:
- If we have taken numbers from 1, 2, 3…for checking factors of 1392, we found that 1392 has factors 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 48, 58, 87, 116, 174, 232, 348, 464, 696 and 1392. Hence, we must say that 1392 is a composite number.
- Thus, 1392 is the composite number.
- If we multiply 1392 by 1, 2, 3 then we get the multiples of 1392 which are 1392, 2784 and so on.
About the number 1392:
- 1392 has more than two factors which are 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 48, 58, 87, 116, 174, 232, 348, 464, 696 and 1392 and hence it is the composite number.
- 1392 is the even composite number and it is not the perfect square also.
- If we divide 1392 by 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 48, 58, 87, 116, 174, 232, 348, 464, 696 and 1392 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 48, 58, 87, 116, 174, 232, 348, 464, 696 are the factors of 1392.
Note:
- 1392 is not the perfect square.
- Factors of 1392: 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 48, 58, 87, 116, 174, 232, 348, 464, 696 and 1392
- Prime factors of 1392: 2, 3, 29
Conclusion:
- 1392 is the composite number which has factors 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 48, 58, 87, 116, 174, 232, 348, 464, 696 and 1392
- And hence, 1392 is not the prime number.
Multiple Choice Questions:
1) 1392 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 1392 are
a) 4, 6, 8, 12, 16, 24, 48, 58, 87, 116, 174, 232, 348, 464, 696 and 1392
b) 2, 3, 29
c) 1, 4, 6, 8, 12, 16, 24, 48, 58, 87, 116, 174, 232, 348, 464, 696 and 1392
d) 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 48, 58, 87, 116, 174, 232, 348, 464, 696 and 1392
Ans: a) 4, 6, 8, 12, 16, 24, 48, 58, 87, 116, 174, 232, 348, 464, 696 and 1392
3) 1392 is composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 48, 58, 87, 116, 174, 232, 348, 464, 696 and 1392
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b