Is 1364 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 1364 is composite or not first we have to find its factors.
Contents
Factors of 1364:
- If we have taken numbers from 1, 2, 3…for checking factors of 1364, we found that 1364 has factors 1, 2, 4, 11, 22, 31, 44, 62, 124, 341, 682 and 1364. Hence, we must say that 1364 is a composite number.
- Thus, 1364 is the composite number.
- If we multiply 1364 by 1, 2, 3 then we get the multiples of 1364 which are 1364, 2728 and so on.
About the number 1364:
- 1364 has more than two factors which are 1, 2, 4, 11, 22, 31, 44, 62, 124, 341, 682 and 1364 and hence it is the composite number.
- 1364 is the even composite number and it is not the perfect square also.
- If we divide 1364 by 1, 2, 4, 11, 22, 31, 44, 62, 124, 341, 682 and 1364 then we get remainder as zero. Hence, 1, 2, 4, 11, 22, 31, 44, 62, 124, 341, 682 and 1364 are the factors of 1364.
Note:
- 1364 is not the perfect square.
- Factors of 1364: 1, 2, 4, 11, 22, 31, 44, 62, 124, 341, 682 and 1364
- Prime factors of 1364: 2, 11, 31
Conclusion:
- 1364 is the composite number which has factors 1, 2, 4, 11, 22, 31, 44, 62, 124, 341, 682 and 1364
- And hence, 1364 is not the prime number.
Multiple Choice Questions:
1) 1364 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 1364 are
a) 4, 22, 44, 62, 124, 341, 682 and 1364
b) 2, 11, 31
c) 1, 4, 22, 44, 62, 124, 341, 682 and 1364
d) 1, 2, 4, 11, 22, 31, 44, 62, 124, 341, 682 and 1364
Ans: a) 4, 22, 44, 62, 124, 341, 682 and 1364
3) 1364 is composite number because
a) It has factors 1, 2, 4, 11, 22, 31, 44, 62, 124, 341, 682 and 1364
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b