Is 3888 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 3888 is composite or not first we have to find its factors.
Factors of 3888:
- If we have taken numbers from 1, 2, 3…for checking factors of 3888, we found that 3888 has factors 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 243, 324, 432, 486, 648, 972, 1296, 1944 and 3888. Hence, we must say that 3888 is a composite number.
- Thus, 3888 is the composite number.
- If we multiply 3888 by 1, 2, 3 then we get the multiples of 3888 which are 3888, 7776 and so on.
About the number 3888:
- 3888 has more than two factors which are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 243, 324, 432, 486, 648, 972, 1296, 1944 and 3888 and hence it is the composite number.
- 3888 is the even composite number and it is not the perfect square also.
- If we divide 3888 by, 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 243, 324, 432, 486, 648, 972, 1296, 1944 and 3888 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 243, 324, 432, 486, 648, 972, 1296, 1944 and 3888 are the factors of 3888.
Note:
- 3888 is not the perfect square.
- Factors of 3888: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 243, 324, 432, 486, 648, 972, 1296, 1944 and 3888
- Prime factors of 3888: 2, 3
Conclusion:
- 3888 is the composite number which has factors, 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 243, 324, 432, 486, 648, 972, 1296, 1944 and 3888
- And hence, 3888 is not the prime number.
Multiple Choice Questions:
1) 3888 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 3888 are
a) 3888
b) 2, 3
c) 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 243, 324, 432, 486, 648, 972, 1296, 1944 and 3888
d) 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 243, 324, 432, 486, 648, 972, 1296, 1944 and 3888
Ans: c) 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 243, 324, 432, 486, 648, 972, 1296, 1944 and 3888
3) 3888 is composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 243, 324, 432, 486, 648, 972, 1296, 1944 and 3888
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b