Is 1400 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 1400 is composite or not first we have to find its factors.
Factors of 1400:
- If we have taken numbers from 1, 2, 3…for checking factors of 1400, we found that 1400 has factors 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 140, 175, 200, 280, 350, 700 and 1400. Hence, we must say that 1400 is a composite number.
- Thus, 1400 is the composite number.
- If we multiply 1400 by 1, 2, 3 then we get the multiples of 1400 which are 1400, 2800 and so on.
About the number 1400:
- 1400 has more than two factors which are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 140, 175, 200, 280, 350, 700 and 1400 and hence it is the composite number.
- 1400 is the even composite number and it is not the perfect square also.
- If we divide 1400 by 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 140, 175, 200, 280, 350, 700 and 1400 then we get remainder as zero. Hence, 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 140, 175, 200, 280, 350, 700 are the factors of 1400.
Note:
- 1400 is not the perfect square.
- Factors of 1400: 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 140, 175, 200, 280, 350, 700 and 1400
- Prime factors of 1400: 2, 5, 7
Conclusion:
- 1400 is the composite number which has factors 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 140, 175, 200, 280, 350, 700 and 1400
- And hence, 1400 is not the prime number.
Multiple Choice Questions:
1) 1400 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 1400 are
a) 4, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 140, 175, 200, 280, 350, 700 and 1400
b) 2, 5, 7
c) 1, 4, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 140, 175, 200, 280, 350, 700 and 1400
d) 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 140, 175, 200, 280, 350, 700 and 1400
Ans: a) 4, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 140, 175, 200, 280, 350, 700 and 1400
3) 1400 is composite number because
a) It has factors 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 140, 175, 200, 280, 350, 700 and 1400
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b