Is 2576 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 2576 is composite or not first we have to find its factors.
Contents
Factors of 2576:
- If we have taken numbers from 1, 2, 3…for checking factors of 2576, we found that 2576 has factors 1, 2, 4, 7, 8, 14, 16, 23, 28, 46, 56, 92, 112, 161, 184, 322, 368, 644, 1288 and 2576. Hence, we must say that 2576 is a composite number.
- Thus, 2576 is the composite number.
- If we multiply 2576 by 1, 2, 3 then we get the multiples of 2576 which are 2576, 5152 and so on.
About the number 2576:
- 2576 has more than two factors which are 1, 2, 4, 7, 8, 14, 16, 23, 28, 46, 56, 92, 112, 161, 184, 322, 368, 644, 1288 and 2576 and hence it is the composite number.
- 2576 is the even composite number and it is not the perfect square also.
- If we divide 2576 by, 1, 2, 4, 7, 8, 14, 16, 23, 28, 46, 56, 92, 112, 161, 184, 322, 368, 644, 1288 and 2576 then we get remainder as zero. Hence, 1, 2, 4, 7, 8, 14, 16, 23, 28, 46, 56, 92, 112, 161, 184, 322, 368, 644, 1288 and 2576 are the factors of 2576.
Note:
- 2576 is not the perfect square.
- Factors of 2576: 1, 2, 4, 7, 8, 14, 16, 23, 28, 46, 56, 92, 112, 161, 184, 322, 368, 644, 1288 and 2576
- Prime factors of 2576: 2, 7, 23
Conclusion:
- 2576 is the composite number which has factors, 1, 2, 4, 7, 8, 14, 16, 23, 28, 46, 56, 92, 112, 161, 184, 322, 368, 644, 1288 and 2576
- And hence, 2576 is not the prime number.
Multiple Choice Questions:
1) 2576 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 2576 are
a) 2576
b) 2, 7, 23
c) 1, 4, 8, 14, 16, 28, 46, 56, 92, 112, 161, 184, 322, 368, 644, 1288 and 2576
d) 1, 2, 4, 7, 8, 14, 16, 23, 28, 46, 56, 92, 112, 161, 184, 322, 368, 644, 1288 and 2576
Ans: b) 2, 7, 23
3) 2576 is composite number because
a) It has factors 1, 2, 4, 7, 8, 14, 16, 23, 28, 46, 56, 92, 112, 161, 184, 322, 368, 644, 1288 and 2576
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b