Is 2565 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 2565 is composite or not first we have to find its factors.
Factors of 2565:
- If we have taken numbers from 1, 2, 3…for checking factors of 2565, we found that 2565 has factors 1, 3, 5, 9, 15, 19, 27, 45, 57, 95, 135, 171, 285, 513, 855 and 2565. Hence, we must say that 2565 is a composite number.
- Thus, 2565 is the composite number.
- If we multiply 2565 by 1, 2, 3 then we get the multiples of 2565 which are 2565, 5130 and so on.
2565 is a Composite number or Prime number
About the number 2565:
- 2565 has more than two factors which are 1, 3, 5, 9, 15, 19, 27, 45, 57, 95, 135, 171, 285, 513, 855 and 2565 and hence it is the composite number.
- 2565 is the odd composite number and it is not the perfect square also.
- If we divide 2565 by 1, 3, 5, 9, 15, 19, 27, 45, 57, 95, 135, 171, 285, 513, 855 and 2565 then we get remainder as zero. Hence 1, 3, 5, 9, 15, 19, 27, 45, 57, 95, 135, 171, 285, 513, 855 and 2565 are the factors of 2565
Note:
- 2565 is not the perfect square.
- Factors of 2565: 1, 3, 5, 9, 15, 19, 27, 45, 57, 95, 135, 171, 285, 513, 855 and 2565
- Prime factors of 2565: 3, 5, 19
Conclusion:
- 2565 is the composite number which has factors 1, 3, 5, 9, 15, 19, 27, 45, 57, 95, 135, 171, 285, 513, 855 and 2565.
- And hence, 2565 is not the prime number.
Multiple Choice Questions:
1) 2565 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 2565 are
a) 1
b) 3, 5, 19
c) 1 and 2565
d) 1, 3, 5, 9, 15, 19, 27, 45, 57, 95, 135, 171, 285, 513, 855 and 2565
Ans: b) 3, 5, 19
3) 2565 is the composite number because
a) It has factors 1, 3, 5, 9, 15, 19, 27, 45, 57, 95, 135, 171, 285, 513, 855 and 2565
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