Is 3000 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 3000 is composite or not first we have to find its factors.
Factors of 3000:
- If we have taken numbers from 1, 2, 3…for checking factors of 3000, we found that 3000 has factors 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 750, 1000, 1500 and 3000. Hence, we must say that 3000 is a composite number.
- Thus, 3000 is the composite number.
- If we multiply 3000 by 1, 2, 3 then we get the multiples of 3000 which are 3000, 6000 and so on.
About the number 3000:
- 3000 has more than two factors which are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 750, 1000, 1500 and 3000 and hence it is the composite number.
- 3000 is the even composite number and it is not the perfect square also.
- If we divide 3000 by, 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 750, 1000, 1500 and 3000 then we get remainder as zero. Hence, 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 750, 1000, 1500 and 3000 are the factors of 3000.
Note:
- 3000 is not the perfect square.
- Factors of 3000: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 750, 1000, 1500 and 3000
- Prime factors of 3000: 2, 3, 5
Conclusion:
- 3000 is the composite number which has factors, 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 750, 1000, 1500 and 3000
- And hence, 3000 is not the prime number.
Multiple Choice Questions:
1) 3000 is a
a) Prime number
b) Odd number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The composite factors of a composite number 3000 are
a) 3000
b) 2, 3, 5
c) 4, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 750, 1000, 1500 and 3000
d) 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 750, 1000, 1500 and 3000
Ans: c) 4, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 750, 1000, 1500 and 3000
3) 3000 is even composite number because
a) It has factors 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 750, 1000, 1500 and 3000
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c