Is 3810 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 3810 is composite or not first we have to find its factors.
Contents
Factors of 3810:
- If we have taken numbers from 1, 2, 3…for checking factors of 3810, we found that 3810 has factors 1, 2, 3, 5, 6, 10, 15, 30, 127, 254, 381, 635, 762, 1270, 1905 and 3810. Hence, we must say that 3810 is a composite number.
- Thus, 3810 is the composite number.
- If we multiply 3810 by 1, 2, 3 then we get the multiples of 3810 which are 3810, 7620 and so on.
About the number 3810:
- 3810 has more than two factors which are 1, 2, 3, 5, 6, 10, 15, 30, 127, 254, 381, 635, 762, 1270, 1905 and 3810 and hence it is the composite number.
- 3810 is the even composite number and it is not the perfect square also.
- If we divide 3810 by, 1, 2, 3, 5, 6, 10, 15, 30, 127, 254, 381, 635, 762, 1270, 1905 and 3810 then we get remainder as zero. Hence, 1, 2, 3, 5, 6, 10, 15, 30, 127, 254, 381, 635, 762, 1270, 1905 and 3810 are the factors of 3810.
Note:
- 3810 is not the perfect square.
- Factors of 3810: 1, 2, 3, 5, 6, 10, 15, 30, 127, 254, 381, 635, 762, 1270, 1905 and 3810
- Prime factors of 3810: 2, 3, 5, 127
Conclusion:
- 3810 is the composite number which has factors, 1, 2, 3, 5, 6, 10, 15, 30, 127, 254, 381, 635, 762, 1270, 1905 and 3810
- And hence, 3810 is not the prime number.
Multiple Choice Questions:
1) 3810 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 3810 are
a) 3810
b) 2, 3, 5, 127
c) 6, 10, 15, 30, 254, 381, 635, 762, 1270, 1905 and 3810
d) 1, 2, 3, 5, 6, 10, 15, 30, 127, 254, 381, 635, 762, 1270, 1905 and 3810
Ans: c) 6, 10, 15, 30, 254, 381, 635, 762, 1270, 1905 and 3810
3) 3810 is composite number because
a) It has factors 1, 2, 3, 5, 6, 10, 15, 30, 127, 254, 381, 635, 762, 1270, 1905 and 3810
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b