Is 2264 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 2264 is composite or not first we have to find its factors.
Contents
Factors of 2264:
- If we have taken numbers from 1, 2, 3…for checking factors of 2264, we found that 2264 has factors 1, 2, 4, 8, 283, 566, 1132 and 2264. Hence, we must say that 2264 is a composite number.
- Thus, 2264 is the composite number.
- If we multiply 2264 by 1, 2, 3 then we get the multiples of 2264 which are 2264, 4528 and so on.
About the number 2264:
- 2264 has more than two factors which are 1, 2, 4, 8, 283, 566, 1132 and 2264 and hence it is the composite number.
- 2264 is the even composite number and it is not the perfect square also.
- If we divide 2264 by, 1, 2, 4, 8, 283, 566, 1132 and 2264 then we get remainder as zero. Hence, 1, 2, 4, 8, 283, 566, 1132 and 2264 are the factors of 2264.
Note:
- 2264 is not the perfect square.
- Factors of 2264: 1, 2, 4, 8, 283, 566, 1132 and 2264
- Prime factors of 2264: 2, 283
Conclusion:
- 2264 is the composite number which has factors 1, 2, 4, 8, 283, 566, 1132 and 2264
- And hence, 2264 is not the prime number.
Multiple Choice Questions:
1) 2264 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 2264 are
a) 2264
b) 2, 283
c) 1, 4, 8, 566, 1132 and 2264
d) 1, 2, 4, 8, 283, 566, 1132 and 2264
Ans: b) 2, 283
3) 2264 is composite number because
a) It has factors 1, 2, 4, 8, 283, 566, 1132 and 2264
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b