Is 3900 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 3900 is composite or not first we have to find its factors.
Factors of 3900:
- If we have taken numbers from 1, 2, 3…for checking factors of 3900, we found that 3900 has factors 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 130, 150, 156, 195, 260, 300, 325, 390, 650, 780, 975, 1300, 1950 and 3900. Hence, we must say that 3900 is a composite number.
- Thus, 3900 is the composite number.
- If we multiply 3900 by 1, 2, 3 then we get the multiples of 3900 which are 3900, 7800 and so on.
About the number 3900:
- 3900 has more than two factors which are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 130, 150, 156, 195, 260, 300, 325, 390, 650, 780, 975, 1300, 1950 and 3900 and hence it is the composite number.
- 3900 is the even composite number and it is not the perfect square also.
- If we divide 3900 by, 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 130, 150, 156, 195, 260, 300, 325, 390, 650, 780, 975, 1300, 1950 and 3900 then we get remainder as zero. Hence, 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 130, 150, 156, 195, 260, 300, 325, 390, 650, 780, 975, 1300, 1950 and 3900 are the factors of 3900.
Note:
- 3900 is not the perfect square.
- Factors of 3900: 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 130, 150, 156, 195, 260, 300, 325, 390, 650, 780, 975, 1300, 1950 and 3900
- Prime factors of 3900: 2, 3, 5, 13
Conclusion:
- 3900 is the composite number which has factors, 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 130, 150, 156, 195, 260, 300, 325, 390, 650, 780, 975, 1300, 1950 and 3900
- And hence, 3900 is not the prime number.
Multiple Choice Questions:
1) 3900 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 3900 are
a) 3900
b) 2, 3, 5, 13
c) 4, 6, 10, 12, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 130, 150, 156, 195, 260, 300, 325, 390, 650, 780, 975, 1300, 1950 and 3900
d) 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 130, 150, 156, 195, 260, 300, 325, 390, 650, 780, 975, 1300, 1950 and 3900
Ans: c) 4, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 130, 150, 156, 195, 260, 300, 325, 390, 650, 780, 975, 1300, 1950 and 3900
3) 3900 is composite number because
a) It has factors 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 130, 150, 156, 195, 260, 300, 325, 390, 650, 780, 975, 1300, 1950 and 3900
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b