Is 2514 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 2514 is composite or not first we have to find its factors.
Contents
Factors of 2514:
- If we have taken numbers from 1, 2, 3…for checking factors of 2514, we found that 2514 has factors 1, 2, 3, 6, 419, 838, 1257 and 2514. Hence, we must say that 2514 is a composite number.
- Thus, 2514 is the composite number.
- If we multiply 2514 by 1, 2, 3 then we get the multiples of 2514 which are 2514, 5028 and so on.
About the number 2514:
- 2514 has more than two factors which are 1, 2, 3, 6, 419, 838, 1257 and 2514 and hence it is the composite number.
- 2514 is the even composite number and it is not the perfect square also.
- If we divide 2514 by, 1, 2, 3, 6, 419, 838, 1257 and 2514 then we get remainder as zero. Hence, 1, 2, 3, 6, 419, 838, 1257 and 2514 are the factors of 2514.
Note:
- 2514 is not the perfect square.
- Factors of 2514: 1, 2, 3, 6, 419, 838, 1257 and 2514
- Prime factors of 2514: 2, 3, 419
Conclusion:
- 2514 is the composite number which has factors 1, 2, 3, 6, 419, 838, 1257 and 2514
- And hence, 2514 is not the prime number.
Multiple Choice Questions:
1) 2514 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 2514 are
a) 2514
b) 2, 3, 419
c) 1, 6, 838, 1257 and 2514
d) 1, 2, 3, 6, 419, 838, 1257 and 2514
Ans: b) 2, 3, 419
3) 2514 is composite number because
a) It has factors 1, 2, 3, 6, 419, 838, 1257 and 2514
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b