Is 3800 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 3800 is composite or not first we have to find its factors.
Contents
Factors of 3800:
- If we have taken numbers from 1, 2, 3…for checking factors of 3800, we found that 3800 has factors 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900 and 3800. Hence, we must say that 3800 is a composite number.
- Thus, 3800 is the composite number.
- If we multiply 3800 by 1, 2, 3 then we get the multiples of 3800 which are 3800, 7600 and so on.
About the number 3800:
- 3800 has more than two factors which are 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900 and 3800 and hence it is the composite number.
- 3800 is the even composite number and it is not the perfect square also.
- If we divide 3800 by, 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900 and 3800 then we get remainder as zero. Hence, 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900 and 3800 are the factors of 3800.
Note:
- 3800 is not the perfect square.
- Factors of 3800: 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900 and 3800
- Prime factors of 3800: 2, 5, 19
Conclusion:
- 3800 is the composite number which has factors, 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900 and 3800
- And hence, 3800 is not the prime number.
Multiple Choice Questions:
1) 3800 is a
a) Prime number
b) Even number
c) Composite number
d) Both b and c
Ans: d) both b and c
2) The composite factors of a composite number 3800 are
a) 3800
b) 2, 5, 19
c) 4, 8, 10, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900 and 3800
d) 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900 and 3800
Ans: c) 4, 8, 10, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900 and 3800
3) 3800 is composite number because
a) It has factors 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900 and 3800
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b