Is 2548 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 2548 is composite or not first we have to find its factors.
Contents
Factors of 2548:
- If we have taken numbers from 1, 2, 3…for checking factors of 2548, we found that 2548 has factors 1, 2, 4, 7, 13, 14, 26, 28, 49, 52, 91, 98, 182, 196, 364, 637, 1274 and 2548. Hence, we must say that 2548 is a composite number.
- Thus, 2548 is the composite number.
- If we multiply 2548 by 1, 2, 3 then we get the multiples of 2548 which are 2548, 5096 and so on.
About the number 2548:
- 2548 has more than two factors which are 1, 2, 4, 7, 13, 14, 26, 28, 49, 52, 91, 98, 182, 196, 364, 637, 1274 and 2548 and hence it is the composite number.
- 2548 is the even composite number and it is not the perfect square also.
- If we divide 2548 by, 1, 2, 4, 7, 13, 14, 26, 28, 49, 52, 91, 98, 182, 196, 364, 637, 1274 and 2548 then we get remainder as zero. Hence, 1, 2, 4, 7, 13, 14, 26, 28, 49, 52, 91, 98, 182, 196, 364, 637, 1274 and 2548 are the factors of 2548.
Note:
- 2548 is not the perfect square.
- Factors of 2548: 1, 2, 4, 7, 13, 14, 26, 28, 49, 52, 91, 98, 182, 196, 364, 637, 1274 and 2548
- Prime factors of 2548: 2, 7, 13
Conclusion:
- 2548 is the composite number which has factors, 1, 2, 4, 7, 13, 14, 26, 28, 49, 52, 91, 98, 182, 196, 364, 637, 1274 and 2548
- And hence, 2548 is not the prime number.
Multiple Choice Questions:
1) 2548 is a
a) Even number
b) Odd number
c) Composite number
d) Both a and c
Ans: d) both a and d
2) The prime factors of a composite number 2548 are
a) 2548
b) 2, 7, 13
c) 1, 4, 14, 26, 28, 49, 52, 91, 98, 182, 196, 364, 637, 1274 and 2548
d) 1, 2, 4, 7, 13, 14, 26, 28, 49, 52, 91, 98, 182, 196, 364, 637, 1274 and 2548
Ans: b) 2, 7, 13
3) 2548 is composite number because
a) It has factors 1, 2, 4, 7, 13, 14, 26, 28, 49, 52, 91, 98, 182, 196, 364, 637, 1274 and 2548
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b