Is 1300 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 1300 is composite or not first we have to find its factors.
Contents
Factors of 1300:
- If we have taken numbers from 1, 2, 3…for checking factors of 1300, we found that 1300 has factors 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 260, 325, 650 and 1300. Hence, we must say that 1300 is a composite number.
- Thus, 1300 is the composite number.
- If we multiply 1300 by 1, 2, 3 then we get the multiples of 1300 which are 1300, 2600 and so on.
About the number 1300:
- 1300 has more than two factors which are 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 260, 325, 650 and 1300 and hence it is the composite number.
- 1300 is the even composite number and it is not the perfect square also.
- If we divide 1300 by 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 260, 325, 650 and 1300 then we get remainder as zero. Hence, 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 260, 325, 650 and 1300 are the factors of 1300.
Note:
- 1300 is not the perfect square.
- Factors of 1300: 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 260, 325, 650 and1300
- Prime factors of 1300: 2, 5, 13
Conclusion:
- 1300 is the composite number which has factors 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 260, 325, 650 and 1300
- And hence, 1300 is not the prime number.
Multiple Choice Questions:
1) 1300 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 1300 are
a) 4, 10, 20, 25, 26, 50, 52, 65, 100, 130, 260, 325, 650 and 1300
b) 2, 5, 13
c) 1,4, 10, 20, 25, 26, 50, 52, 65, 100, 130, 260, 325, 650 and1300
d) 4, 10, 20, 25, 26, 50, 52, 65, 100, 130, 260, 325, 650 and 1300
Ans: a) 4, 10, 20, 25, 26, 50, 52, 65, 100, 130, 260, 325, 650 and 1300
3) 1300 is composite number because
a) It has factors 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 260, 325, 650 and 1300
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b