Is 5000 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 5000 is composite or not first we have to find its factors.
Contents
Factors of 5000:
- If we have taken numbers from 1, 2, 3…for checking factors of 5000 we found that 5000 has factors 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500 and 5000. Hence, we must say that 5000 is a composite number.
- Thus, 5000 is the composite number.
- If we multiply 5000 by 1, 2, 3 then we get the multiples of 5000 which are 5000, 10000 and so on.
About the number 5000:
- 5000 has more than two factors which are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500 and 5000 and hence it is the composite number.
- 5000 is the even composite number and it is not the perfect square also.
- If we divide 5000 by, 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500 and 5000 then we get remainder as zero. Hence, 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500 and 5000 are the factors of 5000.
Note:
- 5000 is not the perfect square.
- Factors of 5000: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500 and 5000
- Prime factors of 5000: 2, 5
Conclusion:
- 5000 is the composite number which has factors, 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500 and 5000
- And hence, 5000 is not the prime number.
Multiple Choice Questions:
1) 5000 is a
a) Prime number
b) even number
c) even Composite number
d) Both a and c
Ans: c) even composite number
2) The prime factors of a composite number 5000 are
a) 5000
b) 2, 5
c) 4, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500 and 5000
d) 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500 and 5000
Ans: b) 2, 5
3) 5000 is even composite number because
a) It has factors 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500 and 5000
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all