Is 2504 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 2504 is composite or not first we have to find its factors.
Contents
Factors of 2504:
- If we have taken numbers from 1, 2, 3…for checking factors of 2504, we found that 2504 has factors 1, 2, 4, 8, 313, 626, 1252 and 2504. Hence, we must say that 2504 is a composite number.
- Thus, 2504 is the composite number.
- If we multiply 2504 by 1, 2, 3 then we get the multiples of 2504 which are 2504, 5008 and so on.
About the number 2504:
- 2504 has more than two factors which are 1, 2, 4, 8, 313, 626, 1252 and 2504 and hence it is the composite number.
- 2504 is the even composite number and it is not the perfect square also.
- If we divide 2504 by, 1, 2, 4, 8, 313, 626, 1252 and 2504 then we get remainder as zero. Hence, 1, 2, 4, 8, 313, 626, 1252 and 2504 are the factors of 2504.
Note:
- 2504 is not the perfect square.
- Factors of 2504: 1, 2, 4, 8, 313, 626, 1252 and 2504
- Prime factors of 2504: 2, 313
Conclusion:
- 2504 is the composite number which has factors 1, 2, 4, 8, 313, 626, 1252 and 2504
- And hence, 2504 is not the prime number.
Multiple Choice Questions:
1) 2504 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 2504 are
a) 2504
b) 2, 313
c) 1, 4, 8, 626, 1252 and 2504
d) 1, 2, 4, 8, 313, 626, 1252 and 2504
Ans: b) 2, 313
3) 2504 is composite number because
a) It has factors 1, 2, 4, 8, 313, 626, 1252 and 2504
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b