Is 3870 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 3870 is composite or not first we have to find its factors.
Contents
Factors of 3870:
- If we have taken numbers from 1, 2, 3…for checking factors of 3870, we found that 3870 has factors 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 43, 45, 86, 90, 129, 215, 258, 387, 430, 645, 774, 1290, 1935 and 3870. Hence, we must say that 3870 is a composite number.
- Thus, 3870 is the composite number.
- If we multiply 3870 by 1, 2, 3 then we get the multiples of 3870 which are 3870, 7740 and so on.
About the number 3870:
- 3870 has more than two factors which are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 43, 45, 86, 90, 129, 215, 258, 387, 430, 645, 774, 1290, 1935 and 3870 and hence it is the composite number.
- 3870 is the even composite number and it is not the perfect square also.
- If we divide 3870 by, 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 43, 45, 86, 90, 129, 215, 258, 387, 430, 645, 774, 1290, 1935 and 3870 then we get remainder as zero. Hence, 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 43, 45, 86, 90, 129, 215, 258, 387, 430, 645, 774, 1290, 1935 and 3870 are the factors of 3870.
Note:
- 3870 is not the perfect square.
- Factors of 3870: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 43, 45, 86, 90, 129, 215, 258, 387, 430, 645, 774, 1290, 1935 and 3870
- Prime factors of 3870: 2, 3, 5, 43
Conclusion:
- 3870 is the composite number which has factors, 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 43, 45, 86, 90, 129, 215, 258, 387, 430, 645, 774, 1290, 1935 and 3870
- And hence, 3870 is not the prime number.
Multiple Choice Questions:
1) 3870 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 3870 are
a) 3870
b) 2, 3, 5, 43
c) 6, 9, 10, 15, 18, 30, 45, 86, 90, 129, 215, 258, 387, 430, 645, 774, 1290, 1935 and 3870
d) 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 43, 45, 86, 90, 129, 215, 258, 387, 430, 645, 774, 1290, 1935 and 3870
Ans: c) 6, 9, 10, 15, 18, 30, 45, 86, 90, 129, 215, 258, 387, 430, 645, 774, 1290, 1935 and 3870
3) 3870 is composite number because
a) It has factors 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 43, 45, 86, 90, 129, 215, 258, 387, 430, 645, 774, 1290, 1935 and 3870
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b