Is 2564 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 2564 is composite or not first we have to find its factors.
Contents
Factors of 2564:
- If we have taken numbers from 1, 2, 3…for checking factors of 2564, we found that 2564 has factors 1, 2, 4, 641, 1282 and 2564. Hence, we must say that 2564 is a composite number.
- Thus, 2564 is the composite number.
- If we multiply 2564 by 1, 2, 3 then we get the multiples of 2564 which are 2564, 5128 and so on.
About the number 2564:
- 2564 has more than two factors which are 1, 2, 4, 641, 1282 and 2564 and hence it is the composite number.
- 2564 is the even composite number and it is not the perfect square also.
- If we divide 2564 by, 1, 2, 4, 641, 1282 and 2564 then we get remainder as zero. Hence, 1, 2, 4, 641, 1282 and 2564 are the factors of 2564.
Note:
- 2564 is not the perfect square.
- Factors of 2564: 1, 2, 4, 641, 1282 and 2564
- Prime factors of 2564: 2, 641
Conclusion:
- 2564 is the composite number which has factors, 1, 2, 4, 641, 1282 and 2564
- And hence, 2564 is not the prime number.
Multiple Choice Questions:
1) 2564 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 2564 are
a) 2564
b) 2, 641
c) 1, 4, 1282 and 2564
d) 1, 2, 4, 641, 1282 and 2564
Ans: b) 2, 641
3) 2564 is composite number because
a) It has factors 1, 2, 4, 641, 1282 and 2564
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b