Is 2948 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 2948 is composite or not first we have to find its factors.
Contents
Factors of 2948:
- If we have taken numbers from 1, 2, 3…for checking factors of 2948, we found that 2948 has factors 1, 2, 4, 11, 22, 44, 67, 134, 268, 737, 1474 and 2948. Hence, we must say that 2948 is a composite number.
- Thus, 2948 is the composite number.
- If we multiply 2948 by 1, 2, 3 then we get the multiples of 2948 which are 2948, 5896 and so on.
About the number 2948:
- 2948 has more than two factors which are 1, 2, 4, 11, 22, 44, 67, 134, 268, 737, 1474 and 2948 and hence it is the composite number.
- 2948 is the even composite number and it is not the perfect square also.
- If we divide 2948 by, 1, 2, 4, 11, 22, 44, 67, 134, 268, 737, 1474 and 2948 then we get remainder as zero. Hence, 1, 2, 4, 11, 22, 44, 67, 134, 268, 737, 1474 and 2948 are the factors of 2948.
Note:
- 2948 is not the perfect square.
- Factors of 2948: 1, 2, 4, 11, 22, 44, 67, 134, 268, 737, 1474 and 2948
- Prime factors of 2948: 2, 11, 67
Conclusion:
- 2948 is the composite number which has factors, 1, 2, 4, 11, 22, 44, 67, 134, 268, 737, 1474 and 2948
- And hence, 2948 is not the prime number.
Multiple Choice Questions:
1) 2948 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 2948 are
a) 2948
b) 2, 11, 67
c) 4, 22, 44, 134, 268, 737, 1474 and 2948
d) 1, 2, 4, 11, 22, 44, 67, 134, 268, 737, 1474 and 2948
Ans: c) 4, 22, 44, 134, 268, 737, 1474 and 2948
3) 2948 is even composite number because
a) It has factors 1, 2, 4, 11, 22, 44, 67, 134, 268, 737, 1474 and 2948
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c