Is 2538 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 2538 is composite or not first we have to find its factors.
Contents
Factors of 2538:
- If we have taken numbers from 1, 2, 3…for checking factors of 2538, we found that 2538 has factors 1, 2, 3, 6, 9, 18, 27, 47, 54, 94, 141, 282, 423, 846, 1269 and 2538. Hence, we must say that 2538 is a composite number.
- Thus, 2538 is the composite number.
- If we multiply 2538 by 1, 2, 3 then we get the multiples of 2538 which are 2538, 5076 and so on.
About the number 2538:
- 2538 has more than two factors which are 1, 2, 3, 6, 9, 18, 27, 47, 54, 94, 141, 282, 423, 846, 1269 and 2538 and hence it is the composite number.
- 2538 is the even composite number and it is not the perfect square also.
- If we divide 2538 by, 1, 2, 3, 6, 9, 18, 27, 47, 54, 94, 141, 282, 423, 846, 1269 and 2538 then we get remainder as zero. Hence, 1, 2, 3, 6, 9, 18, 27, 47, 54, 94, 141, 282, 423, 846, 1269 and 2538 are the factors of 2538.
Note:
- 2538 is not the perfect square.
- Factors of 2538: 1, 2, 3, 6, 9, 18, 27, 47, 54, 94, 141, 282, 423, 846, 1269 and 2538
- Prime factors of 2538: 2, 3, 47
Conclusion:
- 2538 is the composite number which has factors, 1, 2, 3, 6, 9, 18, 27, 47, 54, 94, 141, 282, 423, 846, 1269 and 2538
- And hence, 2538 is not the prime number.
Multiple Choice Questions:
1) 2538 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 2538 are
a) 2538
b) 2, 3, 47
c) 1, 6, 9, 18, 27, 54, 94, 141, 282, 423, 846, 1269 and 2538
d) 1, 2, 3, 6, 9, 18, 27, 47, 54, 94, 141, 282, 423, 846, 1269 and 2538
Ans: b) 2, 3, 47
3) 2538 is composite number because
a) It has factors 1, 2, 3, 6, 9, 18, 27, 47, 54, 94, 141, 282, 423, 846, 1269 and 2538
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b