Is 1380 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 1380 is composite or not first we have to find its factors.
Factors of 1380:
- If we have taken numbers from 1, 2, 3…for checking factors of 1380, we found that 1380 has factors 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690 and 1380. Hence, we must say that 1380 is a composite number.
- Thus, 1380 is the composite number.
- If we multiply 1380 by 1, 2, 3 then we get the multiples of 1380 which are 1380, 2760 and so on.
About the number 1380:
- 1380 has more than two factors which are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690 and 1380 and hence it is the composite number.
- 1380 is the even composite number and it is not the perfect square also.
- If we divide 1380 by 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690 and 1380 then we get remainder as zero. Hence, 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690 and 1380 are the factors of 1380.
Note:
- 1380 is not the perfect square.
- Factors of 1380: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690 and 1380
- Prime factors of 1380: 2, 3, 5, 23
Conclusion:
- 1380 is the composite number which has factors 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690 and 1380
- And hence, 1380 is not the prime number.
Multiple Choice Questions:
1) 1380 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 1380 are
a) 4, 6, 10, 12, 15, 20, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690 and 1380
b) 2, 3, 5, 23
c) 1, 4, 6, 10, 12, 15, 20, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690 and 1380
d) 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690 and 1380
Ans: a) 4, 6, 10, 12, 15, 20, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690 and 1380
3) 1380 is composite number because
a) It has factors 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92, 115, 138, 230, 276, 345, 460, 690 and 1380
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b