Is 2500 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 2500 is composite or not first we have to find its factors.
Contents
Factors of 2500:
- If we have taken numbers from 1, 2, 3…for checking factors of 2500, we found that 2500 has factors 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250 and 2500. Hence, we must say that 2500 is a composite number.
- Thus, 2500 is the composite number.
- If we multiply 2500 by 1, 2, 3 then we get the multiples of 2500 which are 2500, 5000 and so on.
About the number 2500:
- 2500 has more than two factors which are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250 and 2500 and hence it is the composite number.
- 2500 is the even composite number and it is the perfect square also.
- If we divide 2500 by, 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250 and 2500 then we get remainder as zero. Hence, 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250 and 2500 are the factors of 2500.
Note:
- 2500 is the perfect square.
- Factors of 2500: 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250 and 2500
- Prime factors of 2500: 2, 5
Conclusion:
- 2500 is the composite number which has factors 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250 and 2500
- And hence, 2500 is not the prime number.
Multiple Choice Questions:
1) 2500 is a
a) Even number
b) Odd number
c) Composite number
d) Both a and c
Ans: d) both a and d
2) The prime factors of a composite number 2500 are
a) 2500
b) 2, 5
c) 1, 4, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250 and 2500
d) 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250 and 2500
Ans: b) 2, 5
3) 2500 is composite number because
a) It has factors 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250 and 2500
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b