Is 3048 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 3048 is composite or not first we have to find its factors.
Contents
Factors of 3048:
- If we have taken numbers from 1, 2, 3…for checking factors of 3048, we found that 3048 has factors 1, 2, 3, 4, 6, 8, 12, 24, 127, 254, 381, 508, 762, 1016, 1524 and 3048. Hence, we must say that 3048 is a composite number.
- Thus, 3048 is the composite number.
- If we multiply 3048 by 1, 2, 3 then we get the multiples of 3048 which are 3048, 6096 and so on.
About the number 3048:
- 3048 has more than two factors which are 1, 2, 3, 4, 6, 8, 12, 24, 127, 254, 381, 508, 762, 1016, 1524 and 3048 and hence it is the composite number.
- 3048 is the even composite number and it is not the perfect square also.
- If we divide 3048 by, 1, 2, 3, 4, 6, 8, 12, 24, 127, 254, 381, 508, 762, 1016, 1524 and 3048 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 12, 24, 127, 254, 381, 508, 762, 1016, 1524 and 3048 are the factors of 3048.
Note:
- 3048 is not the perfect square.
- Factors of 3048: 1, 2, 3, 4, 6, 8, 12, 24, 127, 254, 381, 508, 762, 1016, 1524 and 3048
- Prime factors of 3048: 2, 3, 127
Conclusion:
- 3048 is the composite number which has factors, 1, 2, 3, 4, 6, 8, 12, 24, 127, 254, 381, 508, 762, 1016, 1524 and 3048
- And hence, 3048 is not the prime number.
Multiple Choice Questions:
1) 3048 is a
a) Prime number
b) Odd number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The composite factors of a composite number 3048 are
a) 3048
b) 2, 3, 127
c) 4, 6, 8, 12, 24, 254, 381, 508, 762, 1016, 1524 and 3048
d) 1, 2, 3, 4, 6, 8, 12, 24, 127, 254, 381, 508, 762, 1016, 1524 and 3048
Ans: c) 4, 6, 8, 12, 24, 254, 381, 508, 762, 1016, 1524 and 3048
3) 3048 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 12, 24, 127, 254, 381, 508, 762, 1016, 1524 and 3048
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c