Is 2457 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 2457 is composite or not first we have to find its factors.
Contents
Factors of 2457:
- If we have taken numbers from 1, 2, 3…for checking factors of 2457, we found that 2457 has factors 1, 3, 7, 9, 13, 21, 27, 39, 63, 91, 117, 189, 273, 351, 819 and 2457. Hence, we must say that 2457 is a composite number.
- Thus, 2457 is the composite number.
- If we multiply 2457 by 1, 2, 3 then we get the multiples of 2457 which are 2457, 4914 and so on.
2457 is a Composite number or Prime number
About the number 2457:
- 2457 has more than two factors which are 1, 3, 7, 9, 13, 21, 27, 39, 63, 91, 117, 189, 273, 351, 819 and 2457 and hence it is the composite number.
- 2457 is the odd composite number and it is not the perfect square also.
- If we divide 2457 by 1, 3, 7, 9, 13, 21, 27, 39, 63, 91, 117, 189, 273, 351, 819 and 2457 then we get remainder as zero. Hence 1, 3, 7, 9, 13, 21, 27, 39, 63, 91, 117, 189, 273, 351, 819 and 2457 are the factors of 2457
Note:
- 2457 is not the perfect square.
- Factors of 2457: 1, 3, 7, 9, 13, 21, 27, 39, 63, 91, 117, 189, 273, 351, 819 and 2457
- Prime factors of 2457: 3, 7, 13
Conclusion:
- 2457 is the composite number which has factors 1, 3, 7, 9, 13, 21, 27, 39, 63, 91, 117, 189, 273, 351, 819 and 2457.
- And hence, 2457 is not the prime number.
Multiple Choice Questions:
1) 2457 is a
a) odd number
b) Prime number
c) Composite number
d) Both a and c
Ans: d) both a and c
2) The prime factors of a composite number 2457 are
a) 1
b) 3, 7, 13
c) 1 and 2457
d) 1, 3, 7, 9, 13, 21, 27, 39, 63, 91, 117, 189, 273, 351, 819 and 2457
Ans: b) 3, 7, 13
3) 2457 is the composite number because
a) It has factors 1, 3, 7, 9, 13, 21, 27, 39, 63, 91, 117, 189, 273, 351, 819 and 2457
b) It has more than two factors
c) It is not divisible by 2
d) Both a and b
Ans: d) both a and b