Is 1350 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 1350 is composite or not first we have to find its factors.
Factors of 1350:
- If we have taken numbers from 1, 2, 3…for checking factors of 1350, we found that 1350 has factors 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675 and 1350. Hence, we must say that 1350 is a composite number.
- Thus, 1350 is the composite number.
- If we multiply 1350 by 1, 2, 3 then we get the multiples of 1350 which are 1350, 2700 and so on.
About the number 1350:
- 1350 has more than two factors which are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675 and 1350 and hence it is the composite number.
- 1350 is the even composite number and it is not the perfect square also.
- If we divide 1350 by 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675 and 1350 then we get remainder as zero. Hence, 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675 and 1350 are the factors of 1350.
Note:
- 1350 is not the perfect square.
- Factors of 1350: 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675 and 1350
- Prime factors of 1350: 2, 3, 5
Conclusion:
- 1350 is the composite number which has factors 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675 and 1350
- And hence, 1350 is not the prime number.
Multiple Choice Questions:
1) 1350 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 1350 are
a) 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675 and 1350
b) 2, 3, 5
c) 1, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675 and 1350
d) 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675 and 1350
Ans: a) 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675 and 1350
3) 1350 is composite number because
a) It has factors 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675 and 1350
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b