Is 2506 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 2506 is composite or not first we have to find its factors.
Contents
Factors of 2506:
- If we have taken numbers from 1, 2, 3…for checking factors of 2506, we found that 2506 has factors 1, 2, 7, 14, 179, 358, 1253 and 2506. Hence, we must say that 2506 is a composite number.
- Thus, 2506 is the composite number.
- If we multiply 2506 by 1, 2, 3 then we get the multiples of 2506 which are 2506, 5012 and so on.
About the number 2506:
- 2506 has more than two factors which are 1, 2, 7, 14, 179, 358, 1253 and 2506 and hence it is the composite number.
- 2506 is the even composite number and it is not the perfect square also.
- If we divide 2506 by, 1, 2, 7, 14, 179, 358, 1253 and 2506 then we get remainder as zero. Hence, 1, 2, 7, 14, 179, 358, 1253 and 2506 are the factors of 2506.
Note:
- 2506 is not the perfect square.
- Factors of 2506: 1, 2, 7, 14, 179, 358, 1253 and 2506
- Prime factors of 2506: 2, 7, 179
Conclusion:
- 2506 is the composite number which has factors 1, 2, 7, 14, 179, 358, 1253 and 2506
- And hence, 2506 is not the prime number.
Multiple Choice Questions:
1) 2506 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 2506 are
a) 2506
b) 2, 7, 179
c) 1, 14, 358, 1253 and 2506
d) 1, 2, 7, 14, 179, 358, 1253 and 2506
Ans: b) 2, 7, 179
3) 2506 is composite number because
a) It has factors 1, 2, 7, 14, 179, 358, 1253 and 2506
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b