Is 2508 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 2508 is composite or not first we have to find its factors.
Contents
Factors of 2508:
- If we have taken numbers from 1, 2, 3…for checking factors of 2508, we found that 2508 has factors 1, 2, 3, 4, 6, 11, 12, 19, 22, 33, 38, 44, 57, 66, 76, 114, 132, 209, 228, 418, 627, 836, 1254 and 2508. Hence, we must say that 2508 is a composite number.
- Thus, 2508 is the composite number.
- If we multiply 2508 by 1, 2, 3 then we get the multiples of 2508 which are 2508, 5016 and so on.
About the number 2508:
- 2508 has more than two factors which are 1, 2, 3, 4, 6, 11, 12, 19, 22, 33, 38, 44, 57, 66, 76, 114, 132, 209, 228, 418, 627, 836, 1254 and 2508 and hence it is the composite number.
- 2508 is the even composite number and it is not the perfect square also.
- If we divide 2508 by, 1, 2, 3, 4, 6, 11, 12, 19, 22, 33, 38, 44, 57, 66, 76, 114, 132, 209, 228, 418, 627, 836, 1254 and 2508 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 11, 12, 19, 22, 33, 38, 44, 57, 66, 76, 114, 132, 209, 228, 418, 627, 836, 1254 and 2508 are the factors of 2508.
Note:
- 2508 is not the perfect square.
- Factors of 2508: 1, 2, 3, 4, 6, 11, 12, 19, 22, 33, 38, 44, 57, 66, 76, 114, 132, 209, 228, 418, 627, 836, 1254 and 2508
- Prime factors of 2508: 2, 3, 11, 19
Conclusion:
- 2508 is the composite number which has factors 1, 2, 3, 4, 6, 11, 12, 19, 22, 33, 38, 44, 57, 66, 76, 114, 132, 209, 228, 418, 627, 836, 1254 and 2508
- And hence, 2508 is not the prime number.
Multiple Choice Questions:
1) 2508 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 2508 are
a) 2508
b) 2, 3, 11, 19
c) 1, 4, 6, 12, 22, 33, 38, 44, 57, 66, 76, 114, 132, 209, 228, 418, 627, 836, 1254 and 2508
d) 1, 2, 3, 4, 6, 11, 12, 19, 22, 33, 38, 44, 57, 66, 76, 114, 132, 209, 228, 418, 627, 836, 1254 and 2508
Ans: b) 2, 3, 11, 19
3) 2508 is composite number because
a) It has factors 1, 2, 3, 4, 6, 11, 12, 19, 22, 33, 38, 44, 57, 66, 76, 114, 132, 209, 228, 418, 627, 836, 1254 and 2508
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b