Is 1200 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 1200 is composite or not first we have to find its factors.
Factors of 1200:
- If we have taken numbers from 1, 2, 3…for checking factors of 1200, we found that 1200 has factors 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600 and 1200. Hence, we must say that 1200 is a composite number.
- Thus, 1200 is the composite number.
- If we multiply 1200 by 1, 2, 3 then we get the multiples of 1200 which are 1200, 2400 and so on.
About the number 1200:
- 1200 has more than two factors which are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600 and 1200 and hence it is the composite number.
- 1200 is the even composite number and it is not the perfect square also.
- If we divide 1200 by 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600 and 1200 then we get remainder as zero. Hence, 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600 and 1200 are the factors of 1200.
Note:
- 1200 is not the perfect square.
- Factors of 1200: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600 and 1200
- Prime factors of 1200: 2, 3, 5
Conclusion:
- 1200 is the composite number which has factors 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600 and 1200
- And hence, 1200 is not the prime number.
Multiple Choice Questions:
1) 1200 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 1200 are
a) 4, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600 and 1200
b) 2, 3, 5
c) 1, 4, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600 and 1200
d) 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600 and 1200
Ans: a) 4, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600 and 1200
3) 1200 is composite number because
a) It has factors 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600 and 1200
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b